The objective of this paper is to apply the concept of fuzzy matrices to interval-valued intuitionistic fuzzy matrices. In this paper, we introduce the Hamacher operations of interval-valued intuitionistic 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.ℎ𝐴) and exponentiation (𝐴∧ℎ𝑛) operations of interval-valued fuzzy intuitionistic matrices and investigates the algebraic properties.
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