Open AccessProperties of Composition of Fuzzy Relations and its Verifications
Author(s) -
C. Gowrishankar,
R Dharshinee,
K Geetha
Publication year - 2020
Publication title -
international journal of management and humanities
Language(s) - English
Resource type - Journals
ISSN - 2394-0913
DOI - 10.35940/ijmh.e0514.014520
Subject(s) - composition (language) , intersection (aeronautics) , distributive property , associative property , fuzzy logic , mathematics , identity (music) , fuzzy set , computer science , algebra over a field , product (mathematics) , pure mathematics , artificial intelligence , engineering , geometry , linguistics , philosophy , physics , acoustics , aerospace engineering
This paper, deals with fundamental notions in pure and applied sciences, i.e., basic operations related to fuzzy relations. The composition of fuzzy relations are defined in two ways such as max-min composition and max-product composition with suitable example. This paper also introduces the properties of composition of fuzzy relations. The newly introduced properties inculcates zero, identity, equal, not-equal, subset, associative, union, intersection and distributive fuzzy relations. Finally, the paper verifies the properties of composition of fuzzy relations using some numerical values for 2x2 order of matrix. Also gives some exercise problems related to the above concepts with accurate answer keys.