Eigenvalue of Intuitionistic Fuzzy Matrices Over Distributive Lattice-Reference-Cited by-同舟云学术

Eigenvalue of Intuitionistic Fuzzy Matrices Over Distributive Lattice

Published:2019-01 Issue:1 Volume:8 Page:1-18
ISSN:2156-177X
Container-title:International Journal of Fuzzy System Applications
language:en
Short-container-title:

Author:

Ebrahimnejad Ali¹,Adak Amal Kumar²,Jamkhaneh Ezzatallah Baloui³

Affiliation:

1. Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshar, Iran

2. Department of Applied Mathematics, Vidyasagar University, Midnapore, India

3. Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshar, Iran

Abstract

In this article, the concepts of intuitionistic fuzzy complete and complete distributive lattice are introduced and the relative pseudocomplement relation of intuitionistic fuzzy sets is defined. The concepts of intuitionistic fuzzy eigenvalue and eigenvector of an intuitionistic fuzzy matrixes are presented and proved that the set of intuitionistic fuzzy eigenvectors of a given intuitionistic fuzzy eigenvalue form an intuitionistic fuzzy subspace. Also, the authors obtain an intuitionistic fuzzy maximum matrix of a given intuitionistic fuzzy eigenvalue and eigenvector and give some properties of an intuitionistic fuzzy maximum matrix. Finally, the invariant of an intuitionistic fuzzy matrix over a distributive lattice is given with some properties.

Publisher

IGI Global

Subject

General Computer Science

Reference35 articles.

1. Interval cut-set of interval-valued intuitionistic fuzzy sets.;A. K.Adak;African Journal of Mathematics and Computer Sciences,2011

2. Semiring of interval-valued intuitionistic fuzzy matrices.;A. K.Adak;Global Journal of Computer Application and Technology,2011

3. Application of generalized intuitionistic fuzzy matrix in multi-criteria decision making problem.;A. K.Adak;Journal of Mathematical and Computational Science,2011

4. Intuitionistic fuzzy block matrix and its some properties.;A. K.Adak;Annals of Pure and Applied Mathematics,2012

5. Some Properties of Generalized Intuitionistic Fuzzy Nilpotent Matrices over Distributive Lattice

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Intuitionistic Fuzzy Matrices;Recent Developments of Fuzzy Matrix Theory and Applications;2024

2. Fermatean fuzzy semi-prime ideals of ordered semigroups;Topological Algebra and its Applications;2023-01-01

3. Characterization of Pythagorean Q-Fuzzy Ideal of Near-Ring;Handbook of Research on Advances and Applications of Fuzzy Sets and Logic;2022

4. Interval-Valued Intuitionistic Fuzzy Subnear Rings;Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures;2020