Some Properties of Generalized Intuitionistic Fuzzy Nilpotent Matrices over Distributive Lattice

Amal Kumar Adak · Monoranjan Bhowmik · Madhumangal Pal

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Fuzzy and Soft Set Theory Advanced Algebra and Logic Rough Sets and Fuzzy Logic

Abstract

In this paper, the concept of lattice over generalized intuitionistic fuzzy matrices (GIFMs) are introduced and have shown that the set of GIFMs forms a distributive lattice. Some algebraic properties of generalized intuitionistic fuzzy matrices (GIFMs) are presented over distributive lattice. Also, some characteristics of generalized intuitionistic fuzzy nilpotent matrices (GIFNMs) are discussed over distributive lattice. Finally, the reduction of GIFNMs over distributive lattice are given with some properties.

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References

1965Fuzzy sets 1996Fuzzy sets 1986Intuitionistic fuzzy sets 2021Applied Mathematical Sciences 1994New operations defined over the intuitionistic fuzzy sets 2018Notes on Intuitionistic Fuzzy Sets 2004Two new operators on fuzzy matrices 2001INTUITIONISTIC FUZZY DETERMINANT

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