Ordering of Convex Fuzzy Sets : A Brief Survey and New Results
2000, Journal of the Operations Research Society of Japan
Abstract
AbstTuct Coneerning with the topics of a fuzzy max order, a briefsurvey on orderi-g of fuzzy numbers is presented im this article, and we wil] consider an extensien to that of fuzzy sets. An extension of the fuzzy max order as a pseudo order is investigated and defined on a class of fuzzy sets on R" (n ) 1). This order is developed by using a non-empLy closed convex cone and characterized by the projection into its dual cone. Especially a structure of the lattice can be illustrated with the class of rectang]e-type fuzzy sets. = Ai (a J g).+ A2(b ・ 1]). = (Ai(a ・ 3) + A2(b ・ g))..
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