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Picture fuzzy matrix and its application

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Abstract

In this paper, the notions of picture fuzzy matrix, restricted picture fuzzy matrix and special restricted picture fuzzy matrix are established. Two types of \(\langle \theta , \phi , \psi \rangle \)-cut of special restricted square picture fuzzy matrix are introduced and corresponding properties are studied. Also, determinant and adjoint of square picture fuzzy matrix are established and some related properties are investigated. An application of picture fuzzy matrix in decision-making problem is presented here.

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Abbreviations

IFS:

Intuitionistic fuzzy set

IFV:

Intuitionistic fuzzy value

IFM:

Intuitionistic fuzzy matrix

SIFM:

Square intuitionistic fuzzy matrix

PFS:

Picture fuzzy set

PFV:

Picture fuzzy value

PFM:

Picture fuzzy matrix

SPFM:

Square picture fuzzy matrix

AO:

Administrative officer

AOs:

Administrative officers

DOC:

Degree of closeness

DOCs:

Degree of closenesses

Government:

Govt.

Governments:

Govts.

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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India

    Shovan Dogra & Madhumangal Pal

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  1. Shovan Dogra
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  2. Madhumangal Pal
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Correspondence to Madhumangal Pal.

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Communicated by A. Di Nola.

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Dogra, S., Pal, M. Picture fuzzy matrix and its application. Soft Comput 24, 9413–9428 (2020). https://doi.org/10.1007/s00500-020-05021-4

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