An investigation into relations between some transitivity-related concepts

Fuzzy Sets and Systems

Volumn 89, Issue 2, 1997, Pages 257-262

  Wang, Xuzhu ^a,b  

^a GHENT UNIVERSITY   (Belgium)

^b TAIYUAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Acyclicity; Fuzzy preference relation; Ordering of fuzzy quantities; Transitivity

Indexed keywords

EID: 0013435454     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(96)00104-2     Document Type: Article

References (14)

1. A. Banerjee, Rational choice under fuzzy preferences: the Orlovsky choice function. Fuzzy Sets and Systems 53 (1993) 295-299.
2. L. Basile, Ranking alternatives by weak transitivity relations, in: J. Kacprzyk and M. Fedrizzi, Eds., Multiperson Decision Making using Fuzzy Sets and Possibility Theory (Kluwer Academic Publishers, Dordrecht, 1990) 105-112.
3. G. Bortolan and R. Degani, A review of some methods for ranking fuzzy subsets, Fuzzy Sets and Systems 15 (1985) 1-19.
4. J.J. Buckley, Ranking alternatives using fuzzy numbers, Fuzzy Sets and Systems 15 (1985) 21-31.
5. S. Chen and C. Hwang, Fuzzy multiple attribute decision making (Springer, Berlin, 1992) 101-486.
6. D. Dubois and H. Prade, Ranking fuzzy numbers in the setting of possibility theory, Inform. Sci. 30 (1983) 183-224.
7. W. Kolodziejczyk, Orlovsky's concept of decision-making with fuzzy preference relation - further results, Fuzzy Sets and Systems 19 (1986) 11-20.
8. F.J. Montero and J. Tejada, A necessary and sufficient condition for the existence of Orlovsky's choice set. Fuzzy Sets and Systems 26 (1988) 121-125.
9. K. Nakamura, Preference relations on a set of fuzzy utilities as a basis for decision making. Fuzzy Sets and Systems 20 (1986) 147-162.
10. E.A. Ok, On the approximation of preferences by exact relations, Fuzzy Sets and Systems 67 (1994) 173-179.
11. S.A. Orlovsky, Decision-making with a fuzzy preference relation. Fuzzy Sets and Systems 1 (1978) 155-167.
12. J.J. Saade and H. Schwarzlander, Ordering fuzzy sets over the real line: an approach based on decision making under uncertainty. Fuzzy Sets and Systems 50 (1992) 237-246.
13. X. Wang, E.E. Kerre, B. Cappelle and D. Ruan, Transitivity of fuzzy orderings based on pairwise comparisons, J. Fuzzy Math. 3 (1995) 455-463.
14. X. Wang, D. Ruan and E.E. Kerre, The use of weak transitivity in ranking fuzzy numbers, in: K. Zou and Z. Liu, Eds., Proc. Internal. Conf. on Information and Knowledge Engineering (Dalian Maritime University Publishing House, Dalian, 1995) 322-332.