Some Operations Over Interval-Valued Fuzzy Matrices

Abstract

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.