A Survey of Atanassov’s Intuitionistic Fuzzy Relations

2016 ◽  
pp. 65-78 ◽  
Author(s):  
Humberto Bustince ◽  
Edurne Barrenechea ◽  
Miguel Pagola ◽  
Javier Fernandez ◽  
Raul Orduna ◽  
...  
Keyword(s):  
Fuzzy Relations ◽  
Intuitionistic Fuzzy

scholarly journals IntuitionisticH-fuzzy relations

2005 ◽  
Vol 2005 (17) ◽  
pp. 2723-2734 ◽  
Author(s):  
Kul Hur ◽  
Su Youn Jang ◽  
Hee Won Kang
Keyword(s):  
Fuzzy Relations ◽  
Intuitionistic Fuzzy ◽  
Cartesian Closed

We introduce the categoryIRel(H)consisting of intuitionistic fuzzy relational spaces on sets and we study structures of the categoryIRel(H)in the viewpoint of the topological universe introduced by Nel. Thus we show thatIRel(H)satisfies all the conditions of a topological universe overSetexcept the terminal separator property andIRel(H)is cartesian closed overSet.

scholarly journals Intuitionistic fuzzy relations compatible with the group Zn

2019 ◽  
Vol 27 (1) ◽  
Author(s):  
E. G. Emam
Keyword(s):  
Fuzzy Relation ◽  
Fuzzy Relations ◽  
Fundamental Properties ◽  
Intuitionistic Fuzzy

AbstractIn this paper, we define the compatibility of finite intuitionistic fuzzy relations with the group Zn and prove some of their fundamental properties. We show that some compositions of Zn-compatible intuitionistic fuzzy relations are also Zn-compatible intuitionistic fuzzy relation. Also, from any given finite intuitionistic fuzzy relation ρ, we can construct two intuitionistic fuzzy relations denoted by ρL and ρU which are compatible with Zn. We have also provided some examples to clarify the notions and results.

Structures on intuitionistic fuzzy relations

1996 ◽  
Vol 78 (3) ◽  
pp. 293-303 ◽  
Author(s):  
H. Bustince ◽  
P. Burillo
Keyword(s):  
Fuzzy Relations ◽  
Intuitionistic Fuzzy
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