Algebra of fuzzy numbers with unimodal membership function
نویسندگان
چکیده
Fuzzy numbers with a unimodal membership function are presented, which have found application in the fuzzy analysis of such subject fields as ecology, chemical technology. In this article, set an special type is considered. Two binary operations (addition and multiplication) given over set, formulas for calculation obtained some properties algebra investigated. It proved that addition multiplication commutative associative. Moreover, distributive addition. shown there no neutral inverse elements both operations. Note if we add under to algebra, will obtain semiring. The conditions quasineutral or quasiinverse exist also given.
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ژورنال
عنوان ژورنال: ??????? ?????-?????????????? ????????????
سال: 2022
ISSN: ['1811-9905', '2542-2251']
DOI: https://doi.org/10.21638/spbu01.2022.402