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Volumn 16, Issue 2, 2008, Pages 371-387

A probability-based approach to comparison of fuzzy numbers and applications to target-oriented decision making

Author keywords

Decision making; Fuzzy number; Fuzzy target; Ranking; Uncertainty

Indexed keywords

DECISION MAKING; MEMBERSHIP FUNCTIONS; PROBABILITY; UNCERTAINTY ANALYSIS;

EID: 42549131432     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2007.896315     Document Type: Article
Times cited : (65)

References (56)
  • 1
    • 25444481596 scopus 로고    scopus 로고
    • Normative target-based decision making
    • A. E. Abbas and J. E. Matheson, "Normative target-based decision making," Manag. Decision Econ., vol. 26, pp. 373-385, 2005.
    • (2005) Manag. Decision Econ , vol.26 , pp. 373-385
    • Abbas, A.E.1    Matheson, J.E.2
  • 2
    • 0003096936 scopus 로고
    • The management of fuzzy and probabilistic uncertainties for knowledge based systems
    • J. F. Baldwin, S. A. Shapiro, Ed, New York: Wiley
    • J. F. Baldwin, S. A. Shapiro, Ed., "The management of fuzzy and probabilistic uncertainties for knowledge based systems," in The Encyclopaedia of AI. New York: Wiley, 1992, pp. 528-537.
    • (1992) The Encyclopaedia of AI , pp. 528-537
  • 3
    • 49249143039 scopus 로고
    • Comparison of fuzzy sets on the same decision space
    • J. F. Baldwin and N. C. F. Guild, "Comparison of fuzzy sets on the same decision space," Fuzzy Sets Syst., vol. 2, pp. 213-231, 1979.
    • (1979) Fuzzy Sets Syst , vol.2 , pp. 213-231
    • Baldwin, J.F.1    Guild, N.C.F.2
  • 4
    • 0002152837 scopus 로고    scopus 로고
    • Decision analysis using targets instead of utility functions
    • R. Bordley and M. LiCalzi, "Decision analysis using targets instead of utility functions," Decisions Econ. Finance, vol. 23, no. 1, pp. 53-74, 2000.
    • (2000) Decisions Econ. Finance , vol.23 , Issue.1 , pp. 53-74
    • Bordley, R.1    LiCalzi, M.2
  • 5
    • 0141457985 scopus 로고    scopus 로고
    • Reformulating decision theory using fuzzy set theory and Shafer's theory of evidence
    • R. Bordley, "Reformulating decision theory using fuzzy set theory and Shafer's theory of evidence," Fuzzy Sets Syst., vol. 139, pp. 243-266, 2003.
    • (2003) Fuzzy Sets Syst , vol.139 , pp. 243-266
    • Bordley, R.1
  • 6
    • 42549127825 scopus 로고    scopus 로고
    • Foundations of target-based decision theory
    • R. Bordley, H. W. Brachinger and P. A. Monney, Eds, Oxford, U.K, Oxford Univ. Press, Online].HAvailable
    • R. Bordley, H. W. Brachinger and P. A. Monney, Eds., "Foundations of target-based decision theory," in Decision Analysis. Oxford, U.K.: Oxford Univ. Press, 2002 [Online].HAvailable: http://www.eolss.net
    • (2002) Decision Analysis
  • 7
    • 0022011112 scopus 로고
    • A review of some methods for ranking fuzzy subsets
    • G. Bortolan and R. Degani, "A review of some methods for ranking fuzzy subsets," Fuzzy Sets Syst., vol. 15, pp. 1-19, 1985.
    • (1985) Fuzzy Sets Syst , vol.15 , pp. 1-19
    • Bortolan, G.1    Degani, R.2
  • 8
    • 33747971584 scopus 로고
    • A subjective approach for ranking fuzzy numbers
    • L. M. Campos Ibáñes and A. González Muñoz, "A subjective approach for ranking fuzzy numbers," Fuzzy Sets Syst., vol. 29, pp. 145-153, 1989.
    • (1989) Fuzzy Sets Syst , vol.29 , pp. 145-153
    • Campos Ibáñes, L.M.1    González Muñoz, A.2
  • 9
    • 0001249596 scopus 로고    scopus 로고
    • Expected utility without utility
    • E. Castagnoli and M. LiCalzi, "Expected utility without utility," Theory Decision, vol. 41, no. 3, pp. 281-301, 1996.
    • (1996) Theory Decision , vol.41 , Issue.3 , pp. 281-301
    • Castagnoli, E.1    LiCalzi, M.2
  • 12
    • 0035370187 scopus 로고    scopus 로고
    • An approximate approach for ranking fuzzy numbers based on left and right dominance
    • L. H. Chen and H. W. Lu, "An approximate approach for ranking fuzzy numbers based on left and right dominance," Comput. Math. Appl., vol. 41, pp. 1589-1602, 2001.
    • (2001) Comput. Math. Appl , vol.41 , pp. 1589-1602
    • Chen, L.H.1    Lu, H.W.2
  • 13
    • 2442429010 scopus 로고
    • Ranking fuzzy numbers with maximizing set and minimizing set
    • S.-H. Chen, "Ranking fuzzy numbers with maximizing set and minimizing set," Fuzzy Sets Syst., vol. 17, pp. 113-129, 1985.
    • (1985) Fuzzy Sets Syst , vol.17 , pp. 113-129
    • Chen, S.-H.1
  • 14
    • 45949116219 scopus 로고
    • Properties of measures of information in evidence and possibility theories
    • D. Dubois and H. Prade, "Properties of measures of information in evidence and possibility theories," Fuzzy Sets Syst., vol. 24, pp. 161-182, 1987.
    • (1987) Fuzzy Sets Syst , vol.24 , pp. 161-182
    • Dubois, D.1    Prade, H.2
  • 15
    • 84871983806 scopus 로고
    • Operations on fuzzy numbers
    • D. Dubois and H. Prade, "Operations on fuzzy numbers," Int. J. Syst. Sci., vol. 9, no. 6, pp. 626-631, 1978.
    • (1978) Int. J. Syst. Sci , vol.9 , Issue.6 , pp. 626-631
    • Dubois, D.1    Prade, H.2
  • 16
    • 0020813415 scopus 로고
    • Ranking of fuzzy numbers in the setting of possibility theory
    • D. Dubois and H. Prade, "Ranking of fuzzy numbers in the setting of possibility theory," Inf. Sci., vol. 30, pp. 183-224, 1983.
    • (1983) Inf. Sci , vol.30 , pp. 183-224
    • Dubois, D.1    Prade, H.2
  • 17
    • 0024662239 scopus 로고
    • Fuzzy sets, possibility and measurement
    • D. Dubois and H. Prade, "Fuzzy sets, possibility and measurement," Eur. J. Oper. Res., vol. 40, no. 2, pp. 135-154, 1989.
    • (1989) Eur. J. Oper. Res , vol.40 , Issue.2 , pp. 135-154
    • Dubois, D.1    Prade, H.2
  • 18
    • 0030230803 scopus 로고    scopus 로고
    • Ranking and defuzzification methods based on area compensation
    • P. Fortemps and M. Roubens, "Ranking and defuzzification methods based on area compensation," Fuzzy Sets Syst., vol. 82, pp. 319-330, 1996.
    • (1996) Fuzzy Sets Syst , vol.82 , pp. 319-330
    • Fortemps, P.1    Roubens, M.2
  • 19
    • 0019035997 scopus 로고
    • Fuzzy sets and decision analysis
    • S. Freeling, "Fuzzy sets and decision analysis," IEEE Trans. Syst., Man, Cybern., vol. SMC-10, pp. 341-354, 1980.
    • (1980) IEEE Trans. Syst., Man, Cybern , vol.SMC-10 , pp. 341-354
    • Freeling, S.1
  • 20
    • 0002098110 scopus 로고
    • A study of the ranking function approach through mean values
    • A. González Muñoz, "A study of the ranking function approach through mean values," Fuzzy Sets Syst., vol. 35, pp. 29-41, 1990.
    • (1990) Fuzzy Sets Syst , vol.35 , pp. 29-41
    • González Muñoz, A.1
  • 21
    • 17444417083 scopus 로고    scopus 로고
    • A satisfactory-oriented approach to multi-expert decision-making under linguistic assessments
    • V. N. Huynh and Y. Nakamori, "A satisfactory-oriented approach to multi-expert decision-making under linguistic assessments," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 35, no. 2, pp. 184-196, 2005.
    • (2005) IEEE Trans. Syst., Man, Cybern. B, Cybern , vol.35 , Issue.2 , pp. 184-196
    • Huynh, V.N.1    Nakamori, Y.2
  • 22
    • 34250775904 scopus 로고    scopus 로고
    • A fuzzy target based model for decision making under uncertainty
    • Vancouver, BC, Canada, Jul
    • V. N. Huynh, Y. Nakamori, M. Ryoke, and T. B. Ho, "A fuzzy target based model for decision making under uncertainty," in Proc. IEEE Int. Conf. Fuzzy Syst., Vancouver, BC, Canada, Jul. 2006, pp. 1611-1618.
    • (2006) Proc. IEEE Int. Conf. Fuzzy Syst , pp. 1611-1618
    • Huynh, V.N.1    Nakamori, Y.2    Ryoke, M.3    Ho, T.B.4
  • 24
    • 0017438713 scopus 로고
    • A procedure for multiple-aspect decision making using fuzzy sets
    • R. Jain, "A procedure for multiple-aspect decision making using fuzzy sets," Int. J. Syst. Sci., vol. 8, pp. 1-7, 1977.
    • (1977) Int. J. Syst. Sci , vol.8 , pp. 1-7
    • Jain, R.1
  • 25
    • 0017094580 scopus 로고
    • Decision making in the presence of fuzzy variables
    • Oct
    • R. Jain, "Decision making in the presence of fuzzy variables," IEEE Trans. Syst., Man, Cybern., vol. SMC-6, pp. 698-703, Oct. 1976.
    • (1976) IEEE Trans. Syst., Man, Cybern , vol.SMC-6 , pp. 698-703
    • Jain, R.1
  • 26
    • 0000125532 scopus 로고
    • Prospect theory: An nnalysis of decision under risk
    • D. Kahneman and A. Tversky, "Prospect theory: An nnalysis of decision under risk," Econometrica, vol. 47, no. 2, pp. 263-291, 1979.
    • (1979) Econometrica , vol.47 , Issue.2 , pp. 263-291
    • Kahneman, D.1    Tversky, A.2
  • 28
    • 0000235627 scopus 로고
    • Ranking fuzzy numbers with index of optimism
    • K. Kim and K. S. Park, "Ranking fuzzy numbers with index of optimism," Fuzzy Sets Syst., vol. 35, pp. 143-150, 1990.
    • (1990) Fuzzy Sets Syst , vol.35 , pp. 143-150
    • Kim, K.1    Park, K.S.2
  • 30
    • 38149147769 scopus 로고
    • Ranking fuzzy values with satisfaction function
    • K. M. Lee, C. H. Cho, and H. Lee-Kwang, "Ranking fuzzy values with satisfaction function," Fuzzy Sets Syst., vol. 64, pp. 295-309, 1994.
    • (1994) Fuzzy Sets Syst , vol.64 , pp. 295-309
    • Lee, K.M.1    Cho, C.H.2    Lee-Kwang, H.3
  • 31
    • 0033280741 scopus 로고    scopus 로고
    • A method for ranking fuzzy numbers and its application to decision-making
    • Dec
    • H. Lee-Kwang and J.-H. Lee, "A method for ranking fuzzy numbers and its application to decision-making," IEEE Trans. Fuzzy Syst., vol. 7, no. 6, pp. 677-685, Dec. 1999.
    • (1999) IEEE Trans. Fuzzy Syst , vol.7 , Issue.6 , pp. 677-685
    • Lee-Kwang, H.1    Lee, J.-H.2
  • 33
    • 2442558733 scopus 로고
    • Ranking fuzzy numbers with integral value
    • T. S. Liou and M. J. Wang, "Ranking fuzzy numbers with integral value," Fuzzy Sets Syst., vol. 50, pp. 247-255, 1992.
    • (1992) Fuzzy Sets Syst , vol.50 , pp. 247-255
    • Liou, T.S.1    Wang, M.J.2
  • 34
    • 0004293209 scopus 로고
    • Englewood Cliffs, NJ: Prentice-Hall
    • R. E. Moore, Interval Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1966.
    • (1966) Interval Analysis
    • Moore, R.E.1
  • 35
    • 49349119632 scopus 로고
    • A note on the extension principle for fuzzy sets
    • H. T. Nguyen, "A note on the extension principle for fuzzy sets," J. Math. Anal. Appl., vol. 64, pp. 369-380, 1978.
    • (1978) J. Math. Anal. Appl , vol.64 , pp. 369-380
    • Nguyen, H.T.1
  • 36
    • 0002698230 scopus 로고    scopus 로고
    • Comparison of clusters from fuzzy numbers
    • V. Peneva and I. Popchev, "Comparison of clusters from fuzzy numbers," Fuzzy Sets Syst., vol. 97, pp. 75-81, 1998.
    • (1998) Fuzzy Sets Syst , vol.97 , pp. 75-81
    • Peneva, V.1    Popchev, I.2
  • 38
    • 42549118529 scopus 로고    scopus 로고
    • H. J. Rommelfanger, U. Derigs, Ed., Fuzzy decision theory, in Optimization and Operations Research, from Encyclopedia of Life Support Systems (EOLSS). OxfordH U.K.: Eolss, 2002 [Online]. Available: http://www.eolss.net
    • H. J. Rommelfanger, U. Derigs, Ed., "Fuzzy decision theory," in Optimization and Operations Research, from Encyclopedia of Life Support Systems (EOLSS). OxfordH U.K.: Eolss, 2002 [Online]. Available: http://www.eolss.net
  • 39
    • 0030212667 scopus 로고    scopus 로고
    • A unifying approach to defuzzification and comparison of the outputs of fuzzy controllers
    • Aug
    • J. Saade, "A unifying approach to defuzzification and comparison of the outputs of fuzzy controllers," IEEE Trans. Fuzzy Syst., vol. 4, pp. 227-237, Aug. 1996.
    • (1996) IEEE Trans. Fuzzy Syst , vol.4 , pp. 227-237
    • Saade, J.1
  • 40
    • 38249010493 scopus 로고
    • Ordering fuzzy sets over the real line: An approach based on decision making under uncertainty
    • J. Saade and H. Schwarzlander, "Ordering fuzzy sets over the real line: An approach based on decision making under uncertainty," Fuzzy Sets Syst., vol. 50, pp. 237-246, 1992.
    • (1992) Fuzzy Sets Syst , vol.50 , pp. 237-246
    • Saade, J.1    Schwarzlander, H.2
  • 44
    • 0019226077 scopus 로고
    • A linguistic approach to decision making with fuzzy sets
    • M. Tong and P. P. Bonissone, "A linguistic approach to decision making with fuzzy sets," IEEE Trans. Syst., Man, Cybern., vol. SMC-10, pp. 716-723, 1980.
    • (1980) IEEE Trans. Syst., Man, Cybern , vol.SMC-10 , pp. 716-723
    • Tong, M.1    Bonissone, P.P.2
  • 45
    • 0024739697 scopus 로고
    • Newalgorithm for the ranking procedure in fuzzy decisionmaking
    • Sep./Oct
    • T. Y. Tseng and C. M. Klein, "Newalgorithm for the ranking procedure in fuzzy decisionmaking," IEEE Trans. Syst., Man, Cybern., vol. 19, pp. 1289-1296, Sep./Oct. 1989.
    • (1989) IEEE Trans. Syst., Man, Cybern , vol.19 , pp. 1289-1296
    • Tseng, T.Y.1    Klein, C.M.2
  • 47
    • 0001160660 scopus 로고    scopus 로고
    • Reasonable properties for the ordering of fuzzy quantities
    • II, pp
    • X. Wang and E. E. Kerre, "Reasonable properties for the ordering of fuzzy quantities," Fuzzy Sets Syst., vol. 118, no. I, II, pp. 375-385, 387-405, 2001.
    • (2001) Fuzzy Sets Syst , vol.118 , Issue.I
    • Wang, X.1    Kerre, E.E.2
  • 48
    • 0033313513 scopus 로고    scopus 로고
    • On ranking fuzzy numbers using valuations
    • R. R.Yager and D. Filev, "On ranking fuzzy numbers using valuations," Int. J. Intell. Syst., vol. 14, pp. 1249-1268, 1999.
    • (1999) Int. J. Intell. Syst , vol.14 , pp. 1249-1268
    • Yager, R.R.1    Filev, D.2
  • 49
    • 0032595160 scopus 로고    scopus 로고
    • Decision making with fuzzy probability assessments
    • Aug
    • R. R. Yager, "Decision making with fuzzy probability assessments," IEEE Trans. Fuzzy Syst., vol. 7, pp. 462-467, Aug. 1999.
    • (1999) IEEE Trans. Fuzzy Syst , vol.7 , pp. 462-467
    • Yager, R.R.1
  • 50
    • 0009730213 scopus 로고    scopus 로고
    • Including decision attitude in probabilistic decision making
    • R. R. Yager, "Including decision attitude in probabilistic decision making," Int. J. Approx. Reason., vol. 21, pp. 1-21, 1999.
    • (1999) Int. J. Approx. Reason , vol.21 , pp. 1-21
    • Yager, R.R.1
  • 51
    • 0033879978 scopus 로고    scopus 로고
    • Fuzzy modeling for intelligent decision making under uncertainty
    • R. R. Yager, "Fuzzy modeling for intelligent decision making under uncertainty," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 30, no. 1, pp. 60-70, 2000.
    • (2000) IEEE Trans. Syst., Man, Cybern. B, Cybern , vol.30 , Issue.1 , pp. 60-70
    • Yager, R.R.1
  • 52
    • 0035480384 scopus 로고    scopus 로고
    • A context-dependent method for ordering fuzzy numbers using probabilities
    • R. R. Yager, M. Detyniecki, and B. Bouchon-Meunier, "A context-dependent method for ordering fuzzy numbers using probabilities," Inf. Sci., vol. 138, no. 1-4, pp. 237-255, 2001.
    • (2001) Inf. Sci , vol.138 , Issue.1-4 , pp. 237-255
    • Yager, R.R.1    Detyniecki, M.2    Bouchon-Meunier, B.3
  • 53
    • 0036603854 scopus 로고    scopus 로고
    • On the instantiation of possibility distributions
    • R. R. Yager, "On the instantiation of possibility distributions," Fuzzy Sets Syst., vol. 128, no. 2, pp. 261-266, 2002.
    • (2002) Fuzzy Sets Syst , vol.128 , Issue.2 , pp. 261-266
    • Yager, R.R.1
  • 54
    • 33645802616 scopus 로고    scopus 로고
    • Perception-based granular probabilities in risk modeling and decision making
    • Apr
    • R. R. Yager, "Perception-based granular probabilities in risk modeling and decision making," IEEE Trans. Fuzzy Syst., vol. 14, pp. 329-339, Apr. 2006.
    • (2006) IEEE Trans. Fuzzy Syst , vol.14 , pp. 329-339
    • Yager, R.R.1
  • 55
    • 0348230518 scopus 로고    scopus 로고
    • A practical approach to fuzzy utilities comparison in fuzzy multicriteria analysis
    • C.-H. Yeh and H. Deng, "A practical approach to fuzzy utilities comparison in fuzzy multicriteria analysis," Int. J. Approx. Reason. vol. 35, pp. 179-194, 2004.
    • (2004) Int. J. Approx. Reason , vol.35 , pp. 179-194
    • Yeh, C.-H.1    Deng, H.2


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