Some properties of generalized intuitionistic fuzzy nilpotent matrices over distributive lattice |
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Authors: | Amal Kumar Adak Monoranjan Bhowmik Madhumangal Pal |
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Institution: | 1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India 2. Department of Mathematics, V. T. T College, Midnapore, Paschim Medinipur, 721101, India
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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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