Scalar Multiplication and Related Measures for Interval-valued Intuitionistic Fuzzy Matrices
Year: 2026
Type: article
Abstract: In this paper, we study several measures and algebraic properties of interval-valued intuitionistic fuzzy matrices. We define the Hamming, generalized Hamming, Euclidean, and generalized Euclidean measures and prove their main properties. We also show that these measures remain unchanged when both matrices are transposed. Next, we introduce scalar multiplication using a pair of parameters and examine its associativity and distributive properties. We then establish several identities and inequalities relating this operation to the Hamming and Euclidean measures. Examples illustrate how scalar multiplication works and help explain the theoretical results. These findings extend the algebraic framework of interval-valued intuitionistic fuzzy matrices and offer a starting point for studying further operations and their relationships with matrix measures.
Source: Journal of Universal Mathematics
DOI: 10.33773/jum.2059656
Authors: Gökhan Çuvalcıoğlu, Gizem Efe
Institution: Mersin Üniversitesi
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: diamond
OpenAlex ID: W7223470072