(∈, ∈ Vq)-Interval-Valued Fuzzy Dot d-Ideals of d-Algebras

2015 ◽  
Vol 3 ◽  
pp. 1-15
Author(s):  
S.R. Barbhuiya ◽  
Karabi Dutta Choudhury

The concept of (∈, ∈ ∨q)-interval-valued fuzzy dot d-ideals in dalgebras is introduced. Relationship among interval-valued fuzzy dideal, interval-valued fuzzy dot d-ideal, (∈, ∈)-interval-valued fuzzy dideal,(∈, ∈)-interval-valued fuzzy dot d-ideal, and (∈, ∈ ∨q)-intervalvalued fuzzy dot d-ideals are discussed. Conditions for an intervalvalued fuzzy d-ideal to be an (∈, ∈ ∨q)-interval-valued fuzzy dot dideals are given. Some properties of interval-valued fuzzy relations and interval-valued fuzzy ideals under homomorphism are investigated.

2015 ◽  
Vol 8 (sup2) ◽  
pp. 16-27 ◽  
Author(s):  
Agustina Bouchet ◽  
Pelayo Quirós ◽  
Pedro Alonso ◽  
Virginia Ballarin ◽  
Irene Díaz ◽  
...  

2014 ◽  
Vol 236 ◽  
pp. 1-32 ◽  
Author(s):  
Bao Qing Hu ◽  
Chun Yong Wang

2014 ◽  
Vol 63 ◽  
pp. 24-32 ◽  
Author(s):  
Yejun Xu ◽  
Huimin Wang ◽  
Dejian Yu

2011 ◽  
Vol 19 (5) ◽  
pp. 819-830 ◽  
Author(s):  
Edurne Barrenechea ◽  
Humberto Bustince ◽  
Bernard De Baets ◽  
Carlos Lopez-Molina

Author(s):  
Urszula Bentkowska ◽  
Barbara Pȩkala ◽  
Humberto Bustince ◽  
Javier Fernandez ◽  
Aranzazu Jurio ◽  
...  

In this paper we study interval-valued fuzzy relations. We consider preference relations, i.e. a triplet consisting of strict preference, indifference and incomparability which are defined with the use of a fuzzy negation. We analyze the preservation of the fuzzy negation based reciprocity property of interval-valued fuzzy relations by aggregation functions and by some basic interval-valued fuzzy relations. We use diverse representa-tions of aggregation functions. We also consider the connection between N-reciprocal relations and transitivity properties. We provide a numerical example where the final alternative is chosen with the use of generalized voting method, where admissible linear orders for intervals are applied.


IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Abdul Nasir ◽  
Naeem Jan ◽  
Abdu Gumaei ◽  
Sami Ullah Khan

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