Interval Valued ((α),(β) -Convex Fuzzy Set
Following the seminal work of L. A. Zadeh on the definition of convex fuzzy set, a new kinds of definiting of convex fuzzy sets is proposed in this paper. The concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set is considered. In fact, this is a generalization of quasi-coincidence of a fuzzy point with a fuzzy set. By the using this new idea, the notion of interval valued ((α),(β)convex fuzzy sets which is a generalization of (α),(β)-convex fuzzy sets is introduced, and related properties are investigated. The acceptable nontririal concepts obtained in this manner are the interval valued (∈,∈ ∨ q)-convex fuzzy sets and interval valued ((∈),(∈) ∨( q)) -convex fuzzy sets.
quasi-coincidence interval valued (∈,∈ ∨ q) -convex fuzzy set interval valued ((∈),∈) ∨( q)) - convex fuzzy set interval valued ((α ),(β)-convex fuzzy set level convex set
Peng Jiayin
Key Laboratory of Numerical Simulation of Sichuan Province // College of Mathematics and Information Science,Neijiang Normal University,Neijiang, Sichuan, China
国际会议
成都
英文
587-590
2010-12-17(万方平台首次上网日期,不代表论文的发表时间)