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Volumn 45, Issue , 2013, Pages 166-173

Two-criteria method for comparing real-valued and interval-valued intuitionistic fuzzy values

Author keywords

Interval comparison; Interval valued intuitionistic fuzzy values; Intuitionistic fuzzy values; Multiple criteria decision making; Real valued intuitionistic fuzzy values; Two criteria method for comparison

Indexed keywords

ACCURACY FUNCTIONS; INTERVAL ARITHMETIC; INTERVAL COMPARISONS; INTUITIONISTIC FUZZY; INTUITIONISTIC FUZZY VALUES; MULTIPLE CRITERIA DECISION MAKING; MULTIPLE CRITERIA DECISION-MAKING PROBLEMS; TWO-CRITERIA METHOD FOR COMPARISON;

EID: 84876287457     PISSN: 09507051     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.knosys.2013.03.003     Document Type: Article
Times cited : (28)

References (61)
  • 2
    • 0001334287 scopus 로고
    • Interval-valued intuitionistic fuzzy sets
    • K. Atanassov, and G. Gargov Interval-valued intuitionistic fuzzy sets Fuzzy Sets and Systems 31 1989 343 349
    • (1989) Fuzzy Sets and Systems , vol.31 , pp. 343-349
    • Atanassov, K.1    Gargov, G.2
  • 5
    • 0038490668 scopus 로고    scopus 로고
    • Structures on intuitionistic fuzzy relations
    • H. Bustince, and P. Burillo Structures on intuitionistic fuzzy relations Fuzzy Sets and Systems 78 1996 293 303
    • (1996) Fuzzy Sets and Systems , vol.78 , pp. 293-303
    • Bustince, H.1    Burillo, P.2
  • 6
    • 0000196513 scopus 로고    scopus 로고
    • Vague sets are intuitionistic fuzzy sets
    • H. Bustince, and P. Burillo Vague sets are intuitionistic fuzzy sets Fuzzy Sets and Systems 79 1996 403 405
    • (1996) Fuzzy Sets and Systems , vol.79 , pp. 403-405
    • Bustince, H.1    Burillo, P.2
  • 7
    • 0000425759 scopus 로고
    • Handling multicriteria fuzzy decision-making problems based on vague set theory
    • S-.M. Chen, and J.M. Tan Handling multicriteria fuzzy decision-making problems based on vague set theory Fuzzy Sets and Systems 67 1994 163 172
    • (1994) Fuzzy Sets and Systems , vol.67 , pp. 163-172
    • Chen, S.M.1    Tan, J.M.2
  • 8
    • 84867878427 scopus 로고    scopus 로고
    • Considering the decision maker's attitudinal character to solve multi-criteria decision-making problems in an intuitionistic fuzzy environment
    • L.-H. Chen, C.-C. Hung, and C.-C. Tu Considering the decision maker's attitudinal character to solve multi-criteria decision-making problems in an intuitionistic fuzzy environment Knowledge-Based Systems 36 2012 129 138
    • (2012) Knowledge-Based Systems , vol.36 , pp. 129-138
    • Chen, L.-H.1    Hung, C.-C.2    Tu, C.-C.3
  • 9
    • 84862822062 scopus 로고    scopus 로고
    • Multiattribute decision making based on interval-valued intuitionistic fuzzy values
    • S.-M. Chen, L.-W. Lee, H.-C. Liu, and S.-W. Yang Multiattribute decision making based on interval-valued intuitionistic fuzzy values Expert Systems with Applications 39 2012 10343 10351
    • (2012) Expert Systems with Applications , vol.39 , pp. 10343-10351
    • Chen, S.-M.1    Lee, L.-W.2    Liu, H.-C.3    Yang, S.-W.4
  • 10
    • 26944497184 scopus 로고    scopus 로고
    • Terminological difficulties in fuzzy set theory - The case of "intuitionistic Fuzzy Sets"
    • D. Dubois, S. Gottwald, P. Hajek, J. Kacprzyk, and H. Prade Terminological difficulties in fuzzy set theory - the case of "Intuitionistic Fuzzy Sets" Fuzzy Sets and Systems 156 2005 485 491
    • (2005) Fuzzy Sets and Systems , vol.156 , pp. 485-491
    • Dubois, D.1    Gottwald, S.2    Hajek, P.3    Kacprzyk, J.4    Prade, H.5
  • 11
    • 84866074307 scopus 로고    scopus 로고
    • A method for solving systems of linear interval equations applied to the Leontief input-output model of economics
    • L. Dymova, P. Sevastjanov, and M. Pilarek A method for solving systems of linear interval equations applied to the Leontief input-output model of economics Expert Systems with Applications 40 2013 222 230
    • (2013) Expert Systems with Applications , vol.40 , pp. 222-230
    • Dymova, L.1    Sevastjanov, P.2    Pilarek, M.3
  • 14
    • 0002781537 scopus 로고    scopus 로고
    • Linguistic decision analysis: Steps for solving decision problems under pinguistic information
    • F. Herrera, and E. Herrera-Viedma Linguistic decision analysis: steps for solving decision problems under pinguistic information Fuzzy Sets and Systems 115 2000 67 82
    • (2000) Fuzzy Sets and Systems , vol.115 , pp. 67-82
    • Herrera, F.1    Herrera-Viedma, E.2
  • 15
    • 0346054710 scopus 로고    scopus 로고
    • Multicriteria fuzzy decision-making problems based on vague set theory
    • D.H. Hong, and C.-H. Choi Multicriteria fuzzy decision-making problems based on vague set theory Fuzzy Sets and Systems 114 2000 103 113
    • (2000) Fuzzy Sets and Systems , vol.114 , pp. 103-113
    • Hong, D.H.1    Choi, C.-H.2
  • 16
    • 78049530596 scopus 로고    scopus 로고
    • Multi-criteria decision-making method based on interval-valued intuitionistic fuzzy sets
    • V. Lakshmana Gomathi Nayagam, S. Muralikrishnan, and G. Sivaraman Multi-criteria decision-making method based on interval-valued intuitionistic fuzzy sets Expert Systems with Applications 38 2011 1464 1467
    • (2011) Expert Systems with Applications , vol.38 , pp. 1464-1467
    • Nayagam, V.L.G.1    Muralikrishnan, S.2    Sivaraman, G.3
  • 17
    • 77951207919 scopus 로고    scopus 로고
    • Linear programming method for MADM with interval-valued intuitionistic fuzzy sets
    • D.-F. Li Linear programming method for MADM with interval-valued intuitionistic fuzzy sets Expert Systems with Applications 37 2010 5939 5945
    • (2010) Expert Systems with Applications , vol.37 , pp. 5939-5945
    • Li, D.-F.1
  • 18
    • 9244244218 scopus 로고    scopus 로고
    • Multiattribute decision making models and methods using intuitionistic fuzzy sets
    • D-F. Li Multiattribute decision making models and methods using intuitionistic fuzzy sets Journal of Computer and System Sciences 70 2005 73 85
    • (2005) Journal of Computer and System Sciences , vol.70 , pp. 73-85
    • Li, D.-F.1
  • 19
    • 33751016026 scopus 로고    scopus 로고
    • Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets
    • L. Lin, X-H. Yuan, and Z-Q Xia Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets Journal of Computer and System Sciences 73 2007 84 88
    • (2007) Journal of Computer and System Sciences , vol.73 , pp. 84-88
    • Lin, L.1    Yuan, X.-H.2    Xia, Z.-Q.3
  • 20
    • 33751331720 scopus 로고    scopus 로고
    • Multi-criteria decision-making methods based on intuitionistic fuzzy sets
    • H.-W. Liu, and G.-J. Wang Multi-criteria decision-making methods based on intuitionistic fuzzy sets European Journal of Operational Research 179 2007 220 233
    • (2007) European Journal of Operational Research , vol.179 , pp. 220-233
    • Liu, H.-W.1    Wang, G.-J.2
  • 21
    • 0004293209 scopus 로고
    • Prentice-Hall Englewood Cliffs, NJ
    • R.E. Moore Interval Analysis 1966 Prentice-Hall Englewood Cliffs, NJ
    • (1966) Interval Analysis
    • Moore, R.E.1
  • 22
    • 79954605033 scopus 로고    scopus 로고
    • Ranking of interval-valued intuitionistic fuzzy sets
    • V. Nayagam, and G. Sivaraman Ranking of interval-valued intuitionistic fuzzy sets Applied Soft Computing 11 2011 3368 3372
    • (2011) Applied Soft Computing , vol.11 , pp. 3368-3372
    • Nayagam, V.1    Sivaraman, G.2
  • 24
    • 78751632458 scopus 로고    scopus 로고
    • Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment
    • J.H. Park, I.Y. Park, Y.C. Kwun, and X. Tan Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment Applied Mathematical Modelling 35 2011 2544 2556
    • (2011) Applied Mathematical Modelling , vol.35 , pp. 2544-2556
    • Park, J.H.1    Park, I.Y.2    Kwun, Y.C.3    Tan, X.4
  • 27
    • 34547790249 scopus 로고    scopus 로고
    • Numerical methods for interval and fuzzy number comparison based on the probabilistic approach and Dempster-Shafer theory
    • P. Sevastjanov Numerical methods for interval and fuzzy number comparison based on the probabilistic approach and Dempster-Shafer theory Information Sciences 177 2007 4645 4661
    • (2007) Information Sciences , vol.177 , pp. 4645-4661
    • Sevastjanov, P.1
  • 28
    • 21544477274 scopus 로고    scopus 로고
    • Two-objective method for crisp and fuzzy interval comparison in optimization
    • P. Sevastjanov, and P. Róg Two-objective method for crisp and fuzzy interval comparison in optimization Computers and Operations Research 33 2006 115 131
    • (2006) Computers and Operations Research , vol.33 , pp. 115-131
    • Sevastjanov, P.1    Róg, P.2
  • 29
    • 58249110792 scopus 로고    scopus 로고
    • A new method for solving interval and fuzzy equations: Linear case
    • P. Sevastjanov, and L. Dymova A new method for solving interval and fuzzy equations: linear case Information Sciences 17 2009 925 937
    • (2009) Information Sciences , vol.17 , pp. 925-937
    • Sevastjanov, P.1    Dymova, L.2
  • 30
    • 82255179248 scopus 로고    scopus 로고
    • A framework for rule-base evidential reasoning in the interval setting applied to diagnosing type 2 diabetes
    • P. Sevastianov, L. Dymova, and P. Bartosiewicz A framework for rule-base evidential reasoning in the interval setting applied to diagnosing type 2 diabetes Expert Systems with Applications 39 2012 4190 4200
    • (2012) Expert Systems with Applications , vol.39 , pp. 4190-4200
    • Sevastianov, P.1    Dymova, L.2    Bartosiewicz, P.3
  • 31
    • 0037775343 scopus 로고    scopus 로고
    • Intuitionistic fuzzy sets in decision making
    • E. Szmidt, and J. Kacprzyk Intuitionistic fuzzy sets in decision making Notes IFS 2 1996 15 32
    • (1996) Notes IFS , vol.2 , pp. 15-32
    • Szmidt, E.1    Kacprzyk, J.2
  • 32
    • 0038789760 scopus 로고    scopus 로고
    • Remarks on some applications on intuitionistic fuzzy sets in decision making
    • E. Szmidt, and J. Kacprzyk Remarks on some applications on intuitionistic fuzzy sets in decision making Notes IFS 2 1996 22 31
    • (1996) Notes IFS , vol.2 , pp. 22-31
    • Szmidt, E.1    Kacprzyk, J.2
  • 34
    • 0038112753 scopus 로고    scopus 로고
    • Applications of intuitionistic fuzzy sets in decision making
    • Pampelona
    • E. Szmidt, J. Kacprzyk, Applications of intuitionistic fuzzy sets in decision making, in: Proc. Eighth Cong. EUSFLAT98, Pampelona, 1998, pp. 150-158.
    • (1998) Proc. Eighth Cong. EUSFLAT98 , pp. 150-158
    • Szmidt, E.1    Kacprzyk, J.2
  • 35
    • 0041073915 scopus 로고    scopus 로고
    • Reasonable properties for the ordering of fuzzy quantities (I) (II)
    • X. Wang, and E.E. Kerre Reasonable properties for the ordering of fuzzy quantities (I) (II) Fuzzy Sets and Systems 112 2001 387 405
    • (2001) Fuzzy Sets and Systems , vol.112 , pp. 387-405
    • Wang, X.1    Kerre, E.E.2
  • 36
    • 84855941043 scopus 로고    scopus 로고
    • Interval-valued intuitionistic fuzzy multi-criteria decision-making approach based on prospect score function
    • J.-q. Wang, K.-j. Li, and H.-y. Zhang Interval-valued intuitionistic fuzzy multi-criteria decision-making approach based on prospect score function Knowledge-Based Systems 27 2012 119 125
    • (2012) Knowledge-Based Systems , vol.27 , pp. 119-125
    • Wang, J.-Q.1    Li, K.-J.2    Zhang, H.-Y.3
  • 37
    • 10644268480 scopus 로고    scopus 로고
    • A preference aggregation method through the estimation of utility intervals
    • Y.M. Wang, J.B. Yang, and D.L. Xu A preference aggregation method through the estimation of utility intervals Computers and Operations Research 32 2005 2027 2049
    • (2005) Computers and Operations Research , vol.32 , pp. 2027-2049
    • Wang, Y.M.1    Yang, J.B.2    Xu, D.L.3
  • 38
    • 17644384058 scopus 로고    scopus 로고
    • A two-stage logarithmic goal programming method for generating weights from interval comparison matrices
    • Y.M. Wang, J.B. Yang, and D.L. Xu A two-stage logarithmic goal programming method for generating weights from interval comparison matrices Fuzzy Sets and Systems 152 2005 475 498
    • (2005) Fuzzy Sets and Systems , vol.152 , pp. 475-498
    • Wang, Y.M.1    Yang, J.B.2    Xu, D.L.3
  • 39
    • 67549135460 scopus 로고    scopus 로고
    • An approach to multiatribute decision making with interval valued intuitionistic fuzzy assessment and incomplete weights
    • Z. Wang, K.W. Li, and W. Wang An approach to multiatribute decision making with interval valued intuitionistic fuzzy assessment and incomplete weights Information Sciences 179 2009 3026 3040
    • (2009) Information Sciences , vol.179 , pp. 3026-3040
    • Wang, Z.1    Li, K.W.2    Wang, W.3
  • 40
    • 54949099633 scopus 로고    scopus 로고
    • Maximizing deviation method for multiple attribute decision making in intuitionistic fuzzy setting
    • G.-W. Wei Maximizing deviation method for multiple attribute decision making in intuitionistic fuzzy setting Knowledge-Based Systems 21 2008 833 836
    • (2008) Knowledge-Based Systems , vol.21 , pp. 833-836
    • Wei, G.-W.1
  • 41
    • 77549085698 scopus 로고    scopus 로고
    • GRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting
    • G.-W. Wei GRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting Knowledge-Based Systems 23 2010 243 247
    • (2010) Knowledge-Based Systems , vol.23 , pp. 243-247
    • Wei, G.-W.1
  • 42
    • 37249067095 scopus 로고    scopus 로고
    • Intuitionistic fuzzy aggregation operators
    • Z.S. Xu Intuitionistic fuzzy aggregation operators IEEE Transactions on Fuzzy Systems 15 2007 1179 1187
    • (2007) IEEE Transactions on Fuzzy Systems , vol.15 , pp. 1179-1187
    • Xu, Z.S.1
  • 43
    • 33947202127 scopus 로고    scopus 로고
    • Intuitionistic preference relations and their application in group decision making
    • Z.S. Xu Intuitionistic preference relations and their application in group decision making Information Sciences 177 2007 2363 2379
    • (2007) Information Sciences , vol.177 , pp. 2363-2379
    • Xu, Z.S.1
  • 44
    • 79957508607 scopus 로고    scopus 로고
    • Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators
    • Z.S. Xu Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators Knowledge-Based Systems 24 2011 749 760
    • (2011) Knowledge-Based Systems , vol.24 , pp. 749-760
    • Xu, Z.S.1
  • 45
    • 74949116629 scopus 로고    scopus 로고
    • Incomplete interval-valued intuitionistic preference relations
    • Z.S. Xu, and X.Q. Cai Incomplete interval-valued intuitionistic preference relations International Journal of General Systems 38 2009 871 886
    • (2009) International Journal of General Systems , vol.38 , pp. 871-886
    • Xu, Z.S.1    Cai, X.Q.2
  • 46
    • 78649822314 scopus 로고    scopus 로고
    • Recent advances in intuitionistic fuzzy information aggregation
    • Z.S. Xu, and X.Q. Cai Recent advances in intuitionistic fuzzy information aggregation Fuzzy Optimization and Decision Making 9 2010 359 381
    • (2010) Fuzzy Optimization and Decision Making , vol.9 , pp. 359-381
    • Xu, Z.S.1    Cai, X.Q.2
  • 47
    • 34548452440 scopus 로고    scopus 로고
    • Some models for deriving the priority weights from interval fuzzy preference relations
    • Z.S. Xu, and J. Chen Some models for deriving the priority weights from interval fuzzy preference relations European Journal of Operational Research 184 2008 266 280
    • (2008) European Journal of Operational Research , vol.184 , pp. 266-280
    • Xu, Z.S.1    Chen, J.2
  • 49
    • 33750916532 scopus 로고    scopus 로고
    • Some geometric aggregation operators based on intuitionistic fuzzy sets
    • Z.S. Xu, and R.R. Yager Some geometric aggregation operators based on intuitionistic fuzzy sets International Journal of General Systems 35 2006 417 433
    • (2006) International Journal of General Systems , vol.35 , pp. 417-433
    • Xu, Z.S.1    Yager, R.R.2
  • 51
    • 78650852226 scopus 로고    scopus 로고
    • Induced generalized intuitionistic fuzzy operators
    • Z.S. Xu, and M.M. Xia Induced generalized intuitionistic fuzzy operators Knowledge-Based Systems 24 2011 197 209
    • (2011) Knowledge-Based Systems , vol.24 , pp. 197-209
    • Xu, Z.S.1    Xia, M.M.2
  • 52
    • 79952451151 scopus 로고    scopus 로고
    • Approach for aggregating interval-valued intuitionistic fuzzy information and its application to reservoir operation
    • K. Xu, J. Zhou, R. Gu, and H. Qin Approach for aggregating interval-valued intuitionistic fuzzy information and its application to reservoir operation Expert Systems with Applications 38 2011 9032 9035
    • (2011) Expert Systems with Applications , vol.38 , pp. 9032-9035
    • Xu, K.1    Zhou, J.2    Gu, R.3    Qin, H.4
  • 53
    • 84855982264 scopus 로고    scopus 로고
    • The quasi-arithmetic intuitionistic fuzzy OWA operators
    • W. Yang, and Z. Chen The quasi-arithmetic intuitionistic fuzzy OWA operators Knowledge-Based Systems 27 2012 219 233
    • (2012) Knowledge-Based Systems , vol.27 , pp. 219-233
    • Yang, W.1    Chen, Z.2
  • 54
    • 78649959959 scopus 로고    scopus 로고
    • An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection
    • F. Ye An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection Expert Systems with Applications 37 2010 7050 7055
    • (2010) Expert Systems with Applications , vol.37 , pp. 7050-7055
    • Ye, F.1
  • 55
    • 58349097504 scopus 로고    scopus 로고
    • Multicriteria fuzzy decision-making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment
    • J. Ye Multicriteria fuzzy decision-making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment Expert Systems with Applications 36 2009 6899 6902
    • (2009) Expert Systems with Applications , vol.36 , pp. 6899-6902
    • Ye, J.1
  • 56
    • 79151470011 scopus 로고    scopus 로고
    • Fuzzy cross entropy of interval-valued intuitionistic fuzzy sets and its optimal decision-making method based on the weights of alternatives
    • J. Ye Fuzzy cross entropy of interval-valued intuitionistic fuzzy sets and its optimal decision-making method based on the weights of alternatives Expert Systems with Applications 38 2011 6179 6183
    • (2011) Expert Systems with Applications , vol.38 , pp. 6179-6183
    • Ye, J.1
  • 57
    • 84858699518 scopus 로고    scopus 로고
    • Interval-valued intuitionistic fuzzy prioritized operators and their application in group decision ma king
    • D. Yu, Y. Wu, and T. Lu Interval-valued intuitionistic fuzzy prioritized operators and their application in group decision ma king Knowledge-Based Systems 30 2012 57 66
    • (2012) Knowledge-Based Systems , vol.30 , pp. 57-66
    • Yu, D.1    Wu, Y.2    Lu, T.3
  • 58
    • 79151471652 scopus 로고    scopus 로고
    • An approach to aggregating interval numbers into interval-valued intuitionistic fuzzy information for group decision making
    • Z. Yue An approach to aggregating interval numbers into interval-valued intuitionistic fuzzy information for group decision making Expert Systems with Applications 38 2011 6333 6338
    • (2011) Expert Systems with Applications , vol.38 , pp. 6333-6338
    • Yue, Z.1
  • 59
    • 84862832229 scopus 로고    scopus 로고
    • MADM method based on cross-entropy and extended TOPSIS with interval-valued intuitionistic fuzzy sets
    • H. Zhang, and L. Yu MADM method based on cross-entropy and extended TOPSIS with interval-valued intuitionistic fuzzy sets Knowledge-Based Systems 30 2012 115 120
    • (2012) Knowledge-Based Systems , vol.30 , pp. 115-120
    • Zhang, H.1    Yu, L.2
  • 60
    • 84870063316 scopus 로고    scopus 로고
    • Some intuitionistic fuzzy Einstein hybrid aggregation operators and their application to multiple attribute decision making
    • X. Zhao, and G. Wei Some intuitionistic fuzzy Einstein hybrid aggregation operators and their application to multiple attribute decision making Knowledge-Based Systems 37 2013 472 479
    • (2013) Knowledge-Based Systems , vol.37 , pp. 472-479
    • Zhao, X.1    Wei, G.2
  • 61
    • 80051469258 scopus 로고    scopus 로고
    • Intuitionistic fuzzy ordered weighted distance operator
    • S. Zeng, and W. Su Intuitionistic fuzzy ordered weighted distance operator Knowledge-Based Systems 24 2011 1224 1232
    • (2011) Knowledge-Based Systems , vol.24 , pp. 1224-1232
    • Zeng, S.1    Su, W.2


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