Some properties of generalized intuitionistic fuzzy nilpotent matrices over distributive lattice

Amal Kumar Adak (), Monoranjan Bhowmik () and Madhumangal Pal ()
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Amal Kumar Adak: Vidyasagar University
Monoranjan Bhowmik: V. T. T College
Madhumangal Pal: Vidyasagar University

Fuzzy Information and Engineering, 2012, vol. 4, issue 4, 371-387

Abstract: 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.

Keywords: Intuitionistic fuzzy matrices; Generalized intuitionistic fuzzy matrices; Distributive lattice; Generalized intuitionistic fuzzy nilpotent matrices (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s12543-012-0121-1

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