Transforms of Undefined Sets, Undefined Structures, and Undefined β-Systems

By Serpente Divo Rex

The concept proposed by Zadeh.L.A. 82] defining a fuzzy subset A of a given universe X characterizing the membership of an element x of X belonging to A by means of a membership function A etc., in handling the imprecise real life situations mathematically. Now, several branches of fuzzy mathematics like fuzzy algebra, fuzzy topology, fuzzy control theory, fuzzy measure the- ory etc. have emerged. But in the decision making, the fuzzy theory takes care of membership of an element x only, that is the evidence of x belonging to A. It does not take care of the evidence against x belonging to A. It is felt by several decision makers and researchers that in proper decision making, the evidence of x belonging to A and evidence not belonging to A are both necessary, and how much x belongs to A or how much x does not belong to A are necessary. This is the problem with fuzzy sets. To counter this problem Gau.W.L. and Buehrer.D.J 28] introduced the concept of Vague Set Theory.

• Format: Paperback
• Language: English
• ISBN: B0DVC1XD4Z
• ISBN13: 9798230306139
• Release Date: January 2025
• Publisher: Independent Publisher
• Length: 146 Pages
• Weight: 0.78 lbs.
• Dimensions: 0.3" x 8.5" x 11.0"