Multi-Fuzzy Complex Nilpotent Matrices

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Oct 2016 ng Publisher:IGI Global Scientific PublishingJournal:International Journal of Fuzzy System Applications, volume 5, pages 52-76 (issn: 2156-177X, eissn: 2156-1761,

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Authors: Asit Dey; Madhumangal Pal;

doi: 10.4018/ijfsa.2016100103

Multi-Fuzzy Complex Nilpotent Matrices

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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.

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Vidyasagar University
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