Multi-Fuzzy Complex Nilpotent Matrices

Asit Dey and Madhumangal Pal
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Asit Dey: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India
Madhumangal Pal: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India

International Journal of Fuzzy System Applications (IJFSA), 2016, vol. 5, issue 4, 52-76

Abstract: In this paper, the concept of multi-fuzzy matrix (MFM), multi-fuzzy complex matrix (MFCM), generalized multi-fuzzy complex matrix (GMFCM), generalized multi-fuzzy complex nilpotent matrix (GMFCNM) are introduced and have shown that the set of GMFCMs form a distributive lattice. Some properties and characterizations for GMFCNMs are established and in particular, a necessary and sufficient condition for an n × n GMFCNM to have the nilpotent index n is given. Finally, the reduction of GMFCNMs over a distributive lattice are given with some properties.

Date: 2016
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