Open AccessFUZZY LIMITS OF FUZZY FUNCTIONS
Author(s) -
Abdulhameed Qahtan Abbood Altai
Publication year - 2021
Publication title -
malaysian journal of science. series b, physical and earth sciences
Language(s) - English
Resource type - Journals
ISSN - 1394-3065
DOI - 10.22452/mjs.vol40no3.7
Subject(s) - mathematics , fuzzy logic , limit (mathematics) , membership function , fuzzy number , convergence (economics) , fuzzy mathematics , fuzzy classification , fuzzy set , defuzzification , fuzzy subalgebra , representation (politics) , function (biology) , artificial intelligence , computer science , mathematical analysis , evolutionary biology , politics , economic growth , political science , law , economics , biology
In this paper, we study the theory of fuzzy limit of fuzzy function depending on the Altai’s principle and using the representation theorem (resolution principle) to run the fuzzy arithmetic.The novelty underlying this theory is that we can provethe convergence of afuzzy function to its fuzzy limit through proving the convergence of its -cuts’boundaries to their limits for the membership degree 0<<1≤≤1.