Open AccessWeighted Fuzzy Sets
Author(s) -
Pathinathan T*,
P. Mahimairaj
Publication year - 2020
Publication title -
international journal of recent technology and engineering
Language(s) - English
Resource type - Journals
ISSN - 2277-3878
DOI - 10.35940/ijrte.e5718.018520
Subject(s) - element (criminal law) , set (abstract data type) , fuzzy set , function (biology) , degree (music) , representation (politics) , set function , mathematics , computer science , fuzzy logic , artificial intelligence , physics , evolutionary biology , politics , political science , acoustics , law , biology , programming language
The weighted fuzzy subset is to describe the importance of each element in the set through the characteristi3c function. In this paper, we study how an element and its presence in the set, namely, the degree of belongingness plays a role in determining the characteristic level of the set. Presence of an element in the set strengthens the set to a greater extent. Set gets its weightage, because of its elements and its association with the other elements. Association depicts the internal and external factors influencing over an element. In other words, the proposed weighted fuzzy subset has 3-tuple representation such as elements in a set, degree of presence of an elements and degree of impact of the set because of each elements presence.