scholarly journals Orderings on Generalized Regular Interval Valued Fuzzy Matrices

In this paper, a special type of ordering for k - regular Interval Valued Fuzzy Matrix (IVFM) is introduced as a generalization of the minus partial ordering for regular fuzzy matrices. A set of equivalent conditions for a pair of k – regular IVFM to be under this ordering are obtained. We exhibit that this ordering is preserved under similarity relation.

Author(s):  
Amal Kumar Adak

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).


2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
G. Muhiuddin ◽  
D. Al-Kadi ◽  
A. Mahboob ◽  
Amjad Albjedi

In this paper, the notion of interval-valued m -polar fuzzy positive implicative ideals in BCK-algebras is presented. Then, the relationships between interval-valued m -polar fuzzy positive implicative ideals and interval-valued m -polar fuzzy ideals are investigated. After that, the concepts of interval-valued m -polar ∈ , ∈ ∨ q κ ˜ -fuzzy positive implicative ideals and interval-valued m -polar ∈ , ∈   ∨ q κ ˜ -fuzzy ideals are defined and some equivalent conditions are provided. Furthermore, we show that interval-valued m -polar ∈ , ∈   ∨ q κ ˜ -fuzzy positive implicative ideals are interval-valued m -polar ∈ , ∈   ∨ q κ ˜ -fuzzy ideals, but the converse need not be true in general and an example is given in this aim.


2020 ◽  
Vol S (1) ◽  
pp. 187-191
Author(s):  
Vijayabalaji Srinivasan ◽  
Sathiyaseelan Nandhagopal

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