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Semiring of Generalized Interval-Valued Intuitionistic Fuzzy Matrices

Semiring of Generalized Interval-Valued Intuitionistic Fuzzy Matrices

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Author(s): Debashree Manna (Damda Jr. High School, India)
Copyright: 2017
Pages: 21
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.ch006

Keywords: Artificial Intelligence / Computer Science & IT / Engineering Science Reference

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Abstract

In this paper, the concept of semiring of generalized interval-valued intuitionistic fuzzy matrices are introduced and have shown that the set of GIVIFMs forms a distributive lattice. Also, prove that the GIVIFMs form an generalized interval valued intuitionistic fuzzy algebra and vector space over [0, 1]. Some properties of GIVIFMs are studied using the definition of comparability of GIVIFMs.

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