1# kuailemyt

Min-transitivity of fuzzy leftness relationship and its application to decision making

Min-transitivity of fuzzy leftness relationship and its application to decision making Sukhamay Kundu

Computer Science Department, Louisiana State University, Baton Rouge, LA 70803, USA


Available online 12 May 1998.


AbstractWe show that the fuzzy leftness relationship Left(A,B) between two intervals A and B on a line, which we had recently defined for modeling spatial relationships, satisfies the min-transitivity property. The previous definitions of leftness given by Krishnapuram et al. and Miyajima et al. do not have this property. The min-transitivity property plays an important role in fuzzy decision making based on Orlovsky's result. We give several general schemes for constructing concrete min-transitive relations based on our Left(A,B) for use in fuzzy decision making.

Author Keywords: Fuzzy decision-making; Leftness relation; Min-transitivity

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