Affiliation:
1. Aurel Vlaicu University of Arad, Department of Mathematics and Computer Science, Arad, Romania
Abstract
This paper aims at studying the fundamental properties of fuzzy linear
relations between vector spaces. The sum of two fuzzy relations and the
scalar multiplication are defined, in a natural way, and some properties of
this operations are established. Fuzzy linear relations are investigated and
among the results obtained, there should be underlined a characterization of
fuzzy linear relations and the fact that the inverse of a fuzzy linear
relation is also a fuzzy linear relation. Moreover, the paper shows that the
composition of two fuzzy linear relations is a fuzzy linear relation as
well. Finally, the article highlights that the family of all fuzzy linear
relations is closed under addition and it is closed under scalar
multiplication.
Publisher
National Library of Serbia
Cited by
3 articles.
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