Open AccessSome Operations Over Interval-Valued Fuzzy Matrices
Author(s) -
I. Silambarasan
Publication year - 2020
Publication title -
journal of science, computing and engineering research
Language(s) - English
Resource type - Journals
ISSN - 2708-1079
DOI - 10.46379/jscer.2020.010503
Subject(s) - mathematics , commutative property , exponentiation , fuzzy logic , interval (graph theory) , idempotence , algebraic operation , algebraic number , discrete mathematics , complement (music) , algebra over a field , fuzzy number , fuzzy set , pure mathematics , combinatorics , computer science , artificial intelligence , mathematical analysis , biochemistry , chemistry , complementation , gene , phenotype
The objective of this paper is to apply the concept of fuzzy matrices to interval-valued fuzzy matrices. In this paper, we introduce the Hamacher operations of interval-valued fuzzy matrices and prove some desirable properties of these operations, such as commutativity, idempotency and monotonicity. Further, we prove De Morgan's laws over complement for these operations . Then we constructe the scalar multiplication (n._h A) and exponentiation (A^(∧_h n)) operations of interval-valued fuzzy matrices and investigates the algebraic properties.