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 ...
The main aim of this paper is to summarize recent advances on operations on fuzzy sets. First a detailed description of our present knowledge on left-continuous t-norms is presented. Then some new classes of associative operations (uninorms, nullnorms, t-operators) are reviewed. Finally we demo...
Some Basic Operations on Fuzzy Sets and a Generalization of T-norm Operations on Fuzzy Numbers by Using Interval Representation (I) : Some Basic Fuzzy Sets... This paper proposes some basic operations on fuzzy sets and a generalizing of t-norms fuzzy operations on fuzzy numbers by using ...
Operations on type-2 fuzzy sets In this paper, we discuss set operations on type-2 fuzzy sets (including join and meet under minimum/product t-norm), algebraic operations, properties of m... NN Karnik,JM Mendel - 《Fuzzy Sets & Systems》 被引量: 871发表: 2001年 Some new operations on...
aThen operations of fuzzy soft sets and the computational formula of the arithmetic weighted average operator have been given with aggregating thought, and the time-series fuzzy soft sets have been aggregated into collective fuzzy soft set. 然后和算术平均重量操作员的计算惯例给了模糊的软的集合的操作...
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...
This paper defines some operations on the similarity measures of fuzzy sets such as summation and multiplication of two similarity measures. Also, these operations will be generalized to any number of similarity measures. These operations will be very useful especially in the field of computer vision...
Fuzzy Sets in Decision Analysis, Operations Research and Statistics 作者:Slowinski, Roman 编 出版年:1998-5 页数:477 定价:$ 450.87 ISBN:9780792381129 豆瓣评分 目前无人评价 评价: 写笔记 写书评 加入购书单 分享到 + 加入购书单
We find that the new operation system on soft sets inherits all basic properties of operations on classical sets, which justifies our definitions. 展开 关键词: Theoretical or Mathematical/ algebra fuzzy set theory/ soft sets mathematical tool set-theoretic operations intersection complement difference ...
Fuzzy 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