Pythagorean membership grades in multicriteria decision making

IEEE Transactions on Fuzzy Systems

Volumn 22, Issue 4, 2014, Pages 958-965

  Yager, Ronald R ^a  

^a MACHINE INTELLIGENCE INSTITUTE   (United States)

Author keywords

Aggregation; decision making; membership grade; nonstandard fuzzy set

Indexed keywords

AGGLOMERATION; FUZZY SETS;

AGGREGATION OPERATION; DEGREE OF COMMITMENT; FIRST LOOK; FUZZY SUBSET; INTERVAL-VALUED FUZZY SETS; MEMBERSHIP GRADE; MULTI CRITERIA DECISION MAKING;

DECISION MAKING;

EID: 84905584959     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2013.2278989     Document Type: Article

References (25)

1. R. E. Bellman and L. A. Zadeh, "Decision-making in a fuzzy environment," Manag. Sci., vol. 17, no. 4, pp. 141-164, 1970.
2. R. R. Yager, "On ordered weighted averaging aggregation operators in multi-criteria decision making," IEEE Trans. Syst., Man Cybern., vol. 18, no. 1, pp. 183-190, Jan./Feb. 1988.
3. G. Beliakov, A. Pradera, and T. Calvo, Aggregation Functions: A Guide for Practitioners. Heidelberg, Germany: Springer, 2007.
4. M. Grabisch, J.-L. Marichal, R. Mesiar, and E. Pap, Aggregation Functions.Cambridge, U.K.: Cambridge Univ. Press, 2009.
5. K. T. Atanassov, "Intuitionistic fuzzy sets," Fuzzy Sets Syst., vol. 20, pp. 87-96, 1986.
6. K. T. Atanassov and G. Gargov, "Interval valued intuitionistic fuzzy sets," Fuzzy Sets Syst., vol. 31, pp. 343-349, 1989.
7. K. T. Atanassov, On Intuitionistic Fuzzy Sets Theory. Heidelberg, Germany: Springer, 2012.
8. N. N. Karnik and J. M. Mendel, "Operations on type-2 fuzzy sets," Fuzzy Sets Syst., vol. 122, pp. 327-348, 2001.
9. J. M. Mendel, R. I. John, and F. Liu, "Interval type-2 fuzzy sets made simple," IEEE Trans. Fuzzy Syst., vol. 14, no. 6, pp. 808-821, Dec. 2006. (Pubitemid 46432460)
10. L. A. Zadeh, "Fuzzy sets," Inf. Control, vol. 8, pp. 338-353, 1965.
11. G. Deschrijver and E. E. Kerre, "On the relationship between some extensions of fuzzy set theory," Fuzzy Sets Syst., vol. 133, pp. 227-235, 2003.
12. G. J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications.Upper Saddle River, NJ, USA: Prentice-Hall, 1995.
13. H. Bustince, J. Kacprzyk, and V. Mohedano, "Intuitionistic fuzzy generators-Application to intuitionistic fuzzy complementation," Fuzzy Sets Syst., vol. 114, pp. 485-504, 2000.
14. M. Sugeno, "Fuzzy measures and fuzzy integrals: A survey," in Fuzzy Automata and Decision Process, M. M. Gupta, G. N. Saridis, and B. R. Gaines, Eds. Amsterdam, the Netherlands: North-Holland Pub, 1977, pp. 89-102.
15. R. R. Yager, "On the measure of fuzziness and negation part I:Membership in the unit interval," Int. J. Gen. Syst., vol. 5, pp. 221-229, 1979.
16. R. R. Yager, "On the measure of fuzziness and negation-Part II: Lattices," Inf. Control, vol. 44, pp. 236-260, 1980.
17. E. P. Klement, R. Mesiar, and E. Pap, Triangular Norms. Dordrecht, The Netherlands: Kluwer, 2000.
18. C. Alsina, E. Trillas, and L. Valverde, "On some logical connectives for fuzzy set theory," J. Math. Anal. Appl., vol. 93, pp. 15-26, 1983. (Pubitemid 13589543)
19. R. R. Yager, "On a general class of fuzzy connectives," Fuzzy Sets Syst., vol. 4, pp. 235-242, 1980.
20. X. Zu, "Intuitionistic fuzzy multiattribute decision making: An interactive method," IEEE Trans. Fuzzy Syst., vol. 20, no. 3, pp. 514-525, Jun. 2012.
21. W. Wang and X. Liu, "Intuitionistic fuzzy Information aggregation using Einstein operations," IEEE Trans. Fuzzy Syst., vol. 20, no. 5, pp. 923-938, Oct. 2012.
22. M. Xia, Z. Xu, and H. Liao, "Preference relations based on intuitionistic multiplicative information," IEEE Trans. Fuzzy Syst., vol. 21, no. 1, pp. 113-133, Feb. 2013.
23. J. Q. Wang and H. Y. Zhang, "Multicriteria decision-making approach based on Atanassov's intuitionistic fuzzy sets with incomplete certain information on weights," IEEE Trans. Fuzzy Syst., vol. 21, no. 3, pp. 510-515, Jun. 2013.
24. R. R. Yager and D. P. Filev, Essentials of Fuzzy Modeling and Control.New York, NY, USA: Wiley, 1994.
25. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its application tomodeling and control," IEEE Trans. Syst., Man Cybern., vol. SMC- 15, no. 1, pp. 116-132, Jan./Feb. 1985.