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Interval-Valued Intuitionistic Fuzzy Partition Matrices

Interval-Valued Intuitionistic Fuzzy Partition Matrices
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Author(s): Amal Kumar Adak (Jafuly Deshpran High School, India)
Copyright: 2017
Pages: 18
Source title: Emerging Research on Applied Fuzzy Sets and Intuitionistic Fuzzy Matrices
Source Author(s)/Editor(s): Amal Kumar Adak (Jafuly Deshpran High School, India), Debashree Manna (Damda Jr. High School, India)and Monoranjan Bhowmik (Vidyasagar Teacher’s Training College, India)
DOI: 10.4018/978-1-5225-0914-1.ch003

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Abstract

If in an interval-valued intuitionistic fuzzy matrix each element is again a smaller interval-valued intuitionistic fuzzy matrix then the interval-valued intuitionistic fuzzy matrix is called interval-valued intuitionistic fuzzy partion matrix (IVIFPMs). In this paper, the concept of interval-valued intuitionistic fuzzy partion matrices (IVIFPMs) are introduced and defined different types of interval-valued intuitionistic fuzzy partion matrices (IVIFPMs). The operations like direct sum, Kronecker sum, Kronecker product of interval-valued intuitionistic fuzzy matrices are presented and shown that their resultant matrices are also interval-valued intuitionistic fuzzy partion matrices (IVIFPMs).

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