Analysis of triangular intuitionistic fuzzy matrix games using robust ranking

2017 ◽  
Vol 33 (1) ◽  
pp. 327-336 ◽  
Author(s):  
Ankan Bhaumik ◽  
Sankar Kumar Roy ◽  
Deng-Feng Li
Keyword(s):  
Matrix Games ◽  
Fuzzy Matrix ◽  
Intuitionistic Fuzzy

Interval-Valued Intuitionistic Fuzzy Partition Matrices

2017 ◽  
pp. 64-81
Author(s):  
Amal Kumar Adak
Keyword(s):  
Kronecker Product ◽  
Kronecker Sum ◽  
Fuzzy Partition ◽  
Fuzzy Matrix ◽  
Direct Sum ◽  
Intuitionistic Fuzzy ◽  
Different Types ◽  
Interval Valued

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).

Eigenvalue of Intuitionistic Fuzzy Matrices Over Distributive Lattice

2019 ◽  
Vol 8 (1) ◽  
pp. 1-18 ◽  
Author(s):  
Ali Ebrahimnejad ◽  
Amal Kumar Adak ◽  
Ezzatallah Baloui Jamkhaneh
Keyword(s):  
Distributive Lattice ◽  
Fuzzy Sets ◽  
Intuitionistic Fuzzy Sets ◽  
Fuzzy Matrix ◽  
Intuitionistic Fuzzy ◽  
Eigenvalue And Eigenvector

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.

Fuzzy Matrix Games Considering the Criteria of the Players

Kybernetes ◽  
1991 ◽  
Vol 20 (1) ◽  
pp. 17-28 ◽  
Author(s):  
Lourdes Campos ◽  
Antonio Gonzalez
Keyword(s):  
Matrix Games ◽  
Fuzzy Matrix
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