Fuzzy sets are introduced as a generalization of ordinary sets. In this chapter we are going to define an algebraic structure of the class of fuzzy sets which will be useful in the combination of vague data. If an expert is sure, for example, that the "true" value of the price of a ...
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Fuzzy Sets and Their OperationsFuzzy set theory is developed for solving problems in which descriptions of activities and observations are imprecise, vague, and uncertain. The term "fuzzy" refers to the situation in which there are no well-defined boundaries of the set of activities or ...
模糊综合评价(Fuzzy Comprehension Evaluation Method)又为模糊集合理论(fuzzy sets) 对于难以明确分类,边界不明显的评价指标可才用模糊综合评价,模型关键在于构造的隶属函数的准确性和合理性[1]。 基本步骤[2] 建立综合评价的因素集 模糊综合评价指标的构建。
shadow and the fuzzy set system based on consensus — are shown to be closely related, and the latter gives another analysis of those three types of set operations that were investigated by the former, and proves them to be subject to the combinations of concerning representative consensus sets...
Theme : Aggregation operations Last update 24 December 2023 Theme : Aggregation on Lattices Last update 24 December 2023 Control Engineering(158p) Last update 30 July 2023 Aggregation operations (186 p.) Last update 30 June 2023 Theme: Fuzzy rough sets ...
Chapter 1: Fuzzy Sets (670 KB) Contents: Fuzzy Sets Fuzzy Sets and Systems Abstraction and Pattern Classification Shadows of Fuzzy Sets Fuzzy Algorithms Note on Fuzzy Languages Towards a Theory of Fuzzy Systems Quantitative Fuzzy Semantics
The concepts of operations on fuzzy numbers have been introduced by L.A.Zadeh using the Extension Principle. Since then, several authors have investigated properties and proposed applications of fuzzy numbers. This paper considers basic operations on fuzzy numbers by using α-level sets, which have...