{"product_id":"transforms-of-undefined-sets-undefined-structures-and-undefined-946-systems-9798230306139","title":"Transforms of Undefined Sets, Undefined Structures, and Undefined \u0026#946;-Systems","description":"\u003cp\u003e • Author(s): Serpente Divo Rex\u003cbr\u003e • Publisher: Independent Publisher\u003cbr\u003e • Publisher Imprint: Independent Publisher\u003cbr\u003e • BISAC: General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e","brand":"Atlantic Books","offers":[{"title":"Paperback","offer_id":46398670438551,"sku":"9798230306139","price":2974.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9798230306139.webp?v=1769045643","url":"https:\/\/atlanticbooks.com\/products\/transforms-of-undefined-sets-undefined-structures-and-undefined-946-systems-9798230306139","provider":"Atlantic Books","version":"1.0","type":"link"}