메뉴 건너뛰기




Volumn 6, Issue 4, 2016, Pages 361-375

Novel single-valued neutrosophic aggregated operators under frank norm operation and its application to decision-making process

Author keywords

Decision making; Expert system; Neutrosophic set; Score function

Indexed keywords


EID: 84994874826     PISSN: 21525080     EISSN: 21525099     Source Type: Journal    
DOI: 10.1615/Int.J.UncertaintyQuantification.2016018603     Document Type: Article
Times cited : (118)

References (36)
  • 1
    • 0001334287 scopus 로고
    • Interval-valued intuitionistic fuzzy sets
    • Atanassov, K. and Gargov, G., Interval-valued intuitionistic fuzzy sets, Fuzzy Sets Syst., vol. 31, pp. 343-349, 1989.
    • (1989) Fuzzy Sets Syst. , vol.31 , pp. 343-349
    • Atanassov, K.1    Gargov, G.2
  • 2
    • 0002740725 scopus 로고
    • Intuitionistic fuzzy sets
    • Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy Sets Syst., vol. 20, pp. 87-96, 1986.
    • (1986) Fuzzy Sets Syst. , vol.20 , pp. 87-96
    • Atanassov, K.T.1
  • 3
    • 84887199843 scopus 로고    scopus 로고
    • Correlation coefficient of interval neutrosophic set
    • Broumi, S. and Smarandache, F., Correlation coefficient of interval neutrosophic set, Appl. Mech. Mater., vol. 436, pp. 511-517, 2013.
    • (2013) Appl. Mech. Mater. , vol.436 , pp. 511-517
    • Broumi, S.1    Smarandache, F.2
  • 4
    • 84962595609 scopus 로고    scopus 로고
    • Single valued neutrosophic trapezoid linguistic aggregation operators based multi-attribute decision making
    • Broumi, S. and Smarandache, F., Single valued neutrosophic trapezoid linguistic aggregation operators based multi-attribute decision making, Bull. Pure Appl. Sci.-Math. Stat., vol. 33, no. 2, pp. 135-155, 2014.
    • (2014) Bull. Pure Appl. Sci.-Math. Stat. , vol.33 , Issue.2 , pp. 135-155
    • Broumi, S.1    Smarandache, F.2
  • 5
    • 0001070713 scopus 로고
    • On the similtaneous associativity of f(X, y) and x+y−f(x, y)
    • Frank, M. J., On the similtaneous associativity of f(x, y) and x+y−f(x, y), Aequationes Mathematicae, vol. 19, no. 1, pp. 194-226, 1979.
    • (1979) Aequationes Mathematicae , vol.19 , Issue.1 , pp. 194-226
    • Frank, M.J.1
  • 6
    • 84947602554 scopus 로고    scopus 로고
    • A new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems
    • Garg, H., A new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems, Appl. Soft Comput., vol. 38, pp. 988-999, 2016a.
    • (2016) Appl. Soft Comput. , vol.38 , pp. 988-999
    • Garg, H.1
  • 7
    • 84958576320 scopus 로고    scopus 로고
    • A new generalized pythagorean fuzzy information aggregation using Einstein operations and its application to decision making
    • Garg, H., A new generalized pythagorean fuzzy information aggregation using Einstein operations and its application to decision making, Int. J. Intell. Syst., vol. 31, no. 9, pp. 886-920, 2016b.
    • (2016) Int. J. Intell. Syst. , vol.31 , Issue.9 , pp. 886-920
    • Garg, H.1
  • 8
    • 84985930750 scopus 로고    scopus 로고
    • Generalized intuitionistic fuzzy interactive geometric interaction operators using Einstein t-norm and t-conorm and their application to decision making
    • Garg, H., Generalized intuitionistic fuzzy interactive geometric interaction operators using Einstein t-norm and t-conorm and their application to decision making, Comp. Ind. Eng., vol. 101, pp. 53-69, 2016c.
    • (2016) Comp. Ind. Eng. , vol.101 , pp. 53-69
    • Garg, H.1
  • 9
    • 84994504776 scopus 로고    scopus 로고
    • Generalized intuitionistic fuzzy multiplicative interactive geometric operators and their application to multiple criteria decision making
    • Garg, H., Generalized intuitionistic fuzzy multiplicative interactive geometric operators and their application to multiple criteria decision making, Int. J. Machine Learn. Cybern., doi: 10.1007/s13042-015-0432-8, 2015.
    • (2015) Int. J. Machine Learn. Cybern
    • Garg, H.1
  • 10
    • 84978117036 scopus 로고    scopus 로고
    • Some series of intuitionistic fuzzy interactive averaging aggregation operators
    • Garg, H., Some series of intuitionistic fuzzy interactive averaging aggregation operators, SpringerPlus, vol. 5, no. 1, pp. 1-27, 2016d.
    • (2016) Springerplus , vol.5 , Issue.1 , pp. 1-27
    • Garg, H.1
  • 11
    • 84975223266 scopus 로고    scopus 로고
    • Entropy based multi-criteria decision making method under fuzzy environment and unknown attribute weights
    • Garg, H., Agarwal, N., and Choubey, A., Entropy based multi-criteria decision making method under fuzzy environment and unknown attribute weights, Global J. Technol. Optim., vol. 6, no. 3, pp. 13-20, 2015.
    • (2015) Global J. Technol. Optim. , vol.6 , Issue.3 , pp. 13-20
    • Garg, H.1    Agarwal, N.2    Choubey, A.3
  • 12
    • 84966559311 scopus 로고    scopus 로고
    • Some single valued neutrosophic number Heronian mean operators and their application in multiple attribute group decision making
    • Li, Y., Liu, P., and Chen, Y., Some single valued neutrosophic number Heronian mean operators and their application in multiple attribute group decision making, Informatica, vol. 27, no. 1, pp. 85-110, 2016.
    • (2016) Informatica , vol.27 , Issue.1 , pp. 85-110
    • Li, Y.1    Liu, P.2    Chen, Y.3
  • 13
    • 85040670643 scopus 로고    scopus 로고
    • The neutrosophic number generalized weighted power averaging operator and its application in multiple attribute group decision making
    • Liu, P. and Liu, X., The neutrosophic number generalized weighted power averaging operator and its application in multiple attribute group decision making, Int. J. Machine Learn. Cybern., doi: 10.1007/s13042-016-0508-0, 2016.
    • (2016) Int. J. Machine Learn. Cybern
    • Liu, P.1    Liu, X.2
  • 14
    • 84925511676 scopus 로고    scopus 로고
    • The generalized hybrid weighted average operator based on interval neutrosophic hesitant set and its application to multiple attribute decision making
    • Liu, P. and Shi, L., The generalized hybrid weighted average operator based on interval neutrosophic hesitant set and its application to multiple attribute decision making, Neural Comput. Appl., vol. 26, no. 2, pp. 457-471, 2015.
    • (2015) Neural Comput. Appl. , vol.26 , Issue.2 , pp. 457-471
    • Liu, P.1    Shi, L.2
  • 15
    • 84904958948 scopus 로고    scopus 로고
    • Some generalized neutrosophic number Hamacher aggregation operators and their application to group decision making
    • Liu, P., Chu, Y., Li, Y., and Chen, Y., Some generalized neutrosophic number Hamacher aggregation operators and their application to group decision making, Int. J. Fuzzy Syst., vol. 16, no. 2, pp. 242-255, 2014.
    • (2014) Int. J. Fuzzy Syst. , vol.16 , Issue.2 , pp. 242-255
    • Liu, P.1    Chu, Y.2    Li, Y.3    Chen, Y.4
  • 16
    • 84893967828 scopus 로고    scopus 로고
    • On similarity and entropy of neutrosophic sets
    • Majumdar, P. and Samant, S. K., On similarity and entropy of neutrosophic sets, J. Intell. Fuzzy Syst., vol. 26, no. 3, pp. 1245-1252, 2014.
    • (2014) J. Intell. Fuzzy Syst. , vol.26 , Issue.3 , pp. 1245-1252
    • Majumdar, P.1    Samant, S.K.2
  • 17
    • 84961205753 scopus 로고    scopus 로고
    • Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems
    • Peng, J. J., Wang, J. Q., Wang, J., Zhang, H. Y., and Chen, Z. H., Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems, Int. J. Syst. Sci., vol. 47, no. 10, pp. 2342-2358, 2016.
    • (2016) Int. J. Syst. Sci. , vol.47 , Issue.10 , pp. 2342-2358
    • Peng, J.J.1    Wang, J.Q.2    Wang, J.3    Zhang, H.Y.4    Chen, Z.H.5
  • 20
    • 85010021087 scopus 로고    scopus 로고
    • Multi-criteria decision-making based on generalized prioritized aggregation operators under simplified neutrosophic uncertain linguistic environment
    • Tian, Z. P., Wang, J., Zhang, H. Y., and Wang, J. Q., Multi-criteria decision-making based on generalized prioritized aggregation operators under simplified neutrosophic uncertain linguistic environment, Int. J. Machine Learn. Cybern., doi: 10.1007/s13042-016-0552-9, 2016.
    • (2016) Int. J. Machine Learn. Cybern
    • Tian, Z.P.1    Wang, J.2    Zhang, H.Y.3    Wang, J.Q.4
  • 21
    • 84865685565 scopus 로고    scopus 로고
    • Intuitionistic fuzzy information aggregation using Einstein operations
    • Wang, W. and Liu, X., Intuitionistic fuzzy information aggregation using Einstein operations, IEEE Trans. Fuzzy Syst., vol. 20, no. 5, pp. 923-938, 2012.
    • (2012) IEEE Trans. Fuzzy Syst. , vol.20 , Issue.5 , pp. 923-938
    • Wang, W.1    Liu, X.2
  • 24
    • 37249067095 scopus 로고    scopus 로고
    • Intuitionistic fuzzy aggregation operators
    • Xu, Z. S., Intuitionistic fuzzy aggregation operators, IEEE Trans. Fuzzy Syst., vol. 15, no. 6, pp. 1179-1187, 2007.
    • (2007) IEEE Trans. Fuzzy Syst. , vol.15 , Issue.6 , pp. 1179-1187
    • Xu, Z.S.1
  • 25
    • 34249282055 scopus 로고    scopus 로고
    • Approach to group decision making based on interval valued intuitionistic judgment matrices
    • Xu, Z. and Chen, J., Approach to group decision making based on interval valued intuitionistic judgment matrices, Syst. Eng.— Theory Pract., vol. 27, no. 4, pp. 126-133, 2007.
    • (2007) Syst. Eng.— Theory Pract. , vol.27 , Issue.4 , pp. 126-133
    • Xu, Z.1    Chen, J.2
  • 26
    • 77951672266 scopus 로고    scopus 로고
    • Projection models for intuitionistic fuzzy multiple attribute decision making
    • Xu, Z. S. and Hu, H., Projection models for intuitionistic fuzzy multiple attribute decision making, Int. J. Inf. Technol. Decis. Making, vol. 9, no. 2, pp. 267-280, 2010.
    • (2010) Int. J. Inf. Technol. Decis. Making , vol.9 , Issue.2 , pp. 267-280
    • Xu, Z.S.1    Hu, H.2
  • 27
    • 33750916532 scopus 로고    scopus 로고
    • Some geometric aggregation operators based on intuitionistic fuzzy sets
    • Xu, Z. S. and Yager, R. R., Some geometric aggregation operators based on intuitionistic fuzzy sets, Int. J. General Syst., vol. 35, pp. 417-433, 2006.
    • (2006) Int. J. General Syst. , vol.35 , pp. 417-433
    • Xu, Z.S.1    Yager, R.R.2
  • 28
    • 84937954756 scopus 로고    scopus 로고
    • Information fusion for intuitionistic fuzzy decision making: An overview
    • Xu, Z. and Zhao, N., Information fusion for intuitionistic fuzzy decision making: an overview, Inf. Fusion, vol. 28, pp. 10-23, 2016.
    • (2016) Inf. Fusion , vol.28 , pp. 10-23
    • Xu, Z.1    Zhao, N.2
  • 29
    • 0023855863 scopus 로고
    • On ordered weighted averaging aggregation operators in multi-criteria decision making
    • Yager, R. R., On ordered weighted averaging aggregation operators in multi-criteria decision making, IEEE Trans. Syst., Man Cybern., vol. 18, no. 1, pp. 183-190, 1988.
    • (1988) IEEE Trans. Syst., Man Cybern. , vol.18 , Issue.1 , pp. 183-190
    • Yager, R.R.1
  • 30
    • 84901752238 scopus 로고    scopus 로고
    • A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets
    • Ye, J., A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets, Int. J. Gen. Syst., vol. 26, no. 5, pp. 2459-2466, 2014a.
    • (2014) Int. J. Gen. Syst. , vol.26 , Issue.5 , pp. 2459-2466
    • Ye, J.1
  • 31
    • 84928581192 scopus 로고    scopus 로고
    • Improved cosine similarity measures of simplified neutrosophic sets for medical diagnoses
    • Ye, J., Improved cosine similarity measures of simplified neutrosophic sets for medical diagnoses, Artif. Intell. Med., vol. 63, pp. 171-179, 2015.
    • (2015) Artif. Intell. Med. , vol.63 , pp. 171-179
    • Ye, J.1
  • 32
    • 84874118713 scopus 로고    scopus 로고
    • Multicriteria decision making method using the correlation coefficient under single-value neutrosophic environment
    • Ye, J., Multicriteria decision making method using the correlation coefficient under single-value neutrosophic environment, Int. J. Gen. Syst., vol. 42, no. 4, pp. 386-394, 2013.
    • (2013) Int. J. Gen. Syst. , vol.42 , Issue.4 , pp. 386-394
    • Ye, J.1
  • 33
    • 84890608273 scopus 로고    scopus 로고
    • Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making
    • Ye, J., Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making, Int. J. Intell. Fuzzy Syst., vol. 26, no. 1, pp. 165-172, 2014b.
    • (2014) Int. J. Intell. Fuzzy Syst. , vol.26 , Issue.1 , pp. 165-172
    • Ye, J.1
  • 34
    • 84894906393 scopus 로고    scopus 로고
    • Single valued neutrosophic cross-entropy for multicriteria decision making problems
    • Ye, J., Single valued neutrosophic cross-entropy for multicriteria decision making problems, Appl. Math. Modell., vol. 38, no. 3, pp. 1170-1175, 2014c.
    • (2014) Appl. Math. Modell. , vol.38 , Issue.3 , pp. 1170-1175
    • Ye, J.1
  • 35
    • 34248666540 scopus 로고
    • Fuzzy sets
    • Zadeh, L. A., Fuzzy sets, Inf. Control, vol. 8, pp. 338-353, 1965.
    • (1965) Inf. Control. , vol.8 , pp. 338-353
    • Zadeh, L.A.1
  • 36
    • 84896337799 scopus 로고    scopus 로고
    • Interval neutrosophic sets and their application in multicriteria decision making problems
    • Zhang, H. Y., Wang, J. Q., and Chen, X. H., Interval neutrosophic sets and their application in multicriteria decision making problems, Sci. World J., vol. 2014, doi: 10.1155/2014/645953, 2014.
    • (2014) Sci. World J. , vol.2014
    • Zhang, H.Y.1    Wang, J.Q.2    Chen, X.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.