convexity在模糊集合論上的應用

convexity with applications to fuzzy set theory

陳振陽(Jan-Yang Chen)

指導教授 ： 蕭育如 ； 徐旭昇 ； 傅鍾仁

元智大學/工程學院/工業工程與管理學系/碩士(2000年)

摘要

在本論文中，我們介紹並探討有關 -convexity and -quasiconvexity這兩類的模糊集合和模糊函數，並且建立它們的特徵定理。另外我們提出 -convex and -quasiconvex fuzzy process的觀念和相關性質。

關鍵字

convexity ； quasiconvexity ； 模糊集合 ； 模糊函數 ； convex and -quasiconvex fuzzy process

並列摘要

The concept of -convexity and -quasiconvexity for fuzzy sets and fuzzy mappings are introduced and studied. Characterization theorems for these fuzzy sets and fuzzy mappings are established. In addition, the concept of -convex and -quasiconvex fuzzy processes are proposed. Some basic properties for these fuzzy processes are presented.

並列關鍵字

convexity ； quasiconvexity ； fuzzy sets ； fuzzy mappings ； fuzzy processes

參考文獻

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