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Properties of Composition of Fuzzy Relations and its Verifications

descriptionPublicationkeyboard_double_arrow_right Article 15 Jan 2020Publisher:Blue Eyes Intelligence Engineering and Sciences Engineering and Sciences Publication - BEIESPJournal:International Journal of Management and Humanities, volume 4, pages 1-7 (eissn: 2394-0913,

Authors: C. Gowrishankar; R. Dharshinee; K. Geetha;

doi: 10.35940/ijmh.e0514.014520

Properties of Composition of Fuzzy Relations and its Verifications

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Abstract

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.

Related Organizations

Government College of Science
Pakistan

Keywords

Fuzzy sets, Fuzzy relations, Cartesian product, Union, Intersection, Composition of fuzzy relations

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