Some Aspects of Equivalence Picture Fuzzy Relation

Some Aspects of Equivalence Picture Fuzzy Relation

Palash Dutta Kuntal Saikia 

Dept. of Mathematics, Dibrugarh University-786001, India

Corresponding Author Email: 
palash.dtt@gmail.com, nirvan.xperia@gmail.com
Page: 
424-434
|
DOI: 
https://doi.org/10.18280/ama_a.540303
Received: 
26 December 2017
|
Accepted: 
12 January 2018
|
Published: 
30 September 2017
| Citation

OPEN ACCESS

Abstract: 

Most commonly uncertainty occurs because of vagueness, imprecision, partial information etc. To deal with this type of uncertainty, initially fuzzy set theory (FST) was explored and later, interval valued fuzzy set (IVFS) and intuitionistic fuzzy set (IFS) were developed and successfully applied in different areas. Although, IFS ascribes a membership degree and a non-membership degree separately in such a way that sum of the two degrees must not exceed one, but one of the important and integral part i.e., degree of neutrality is not taken into consideration in IFS, which is generally occurred. In such circumstances, picture fuzzy set (PFS) can be considered as a strong mathematical tool, which adequate in situations when human opinions involved more answers of type: yes, abstain, no.  In this paper, an attempt has been made to study equivalence picture fuzzy relation and its some properties.

Keywords: 

Fuzzy set, Picture fuzzy set, Picture fuzzy relations.

1. Introduction
2. Preliminaries
3. Picture Fuzzy Relation
4. Conclusion
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