Paper Info
Title
Complex Bipolar Fuzzy Sets: An Application In A Transport'S Company
Abstract
Zadeh's fuzzy sets are very useful tool to handle imprecision and uncertainty, but they are unable to characterize the negative characteristics in a certain problem. This problem was solved by Zhang et al. as they introduced the concept of bipolar fuzzy sets. Thus, fuzzy set generalizes the classical set and bipolar fuzzy set generalize the fuzzy set. These theories are based on the set of real numbers. On the other hand, the set of complex numbers is the generalization of the set of real numbers so, complex fuzzy sets generalize the fuzzy sets, with wide range of values to handle the imprecision and uncertainty. So, in this article, we study complex bipolar fuzzy sets which is the generalization of bipolar fuzzy set and complex fuzzy set with wide range of values by adding positive membership function and negative membership function to unit circle in the complex plane, where one can handle vagueness in a much better way as compared to bipolar fuzzy sets. Thus this paper leads us towards a new direction of research, which has many applications in different directions. We develop the notions of union, intersection, complement, Cartesian product and De-Morgan's laws of complex bipolar fuzzy sets. Furthermore, we develop the complex bipolar fuzzy relations, fundamental operations on complex bipolar fuzzy matrices and some operators of complex bipolar fuzzy matrices. We also discuss the distance measure on complex bipolar fuzzy sets and complex bipolar fuzzy aggregation operators. Finally, we apply the developed approach to a numerical problem with the algorithm.
Year
DOI
Venue
2021
10.3233/JIFS-200234
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Keywords
DocType
Volume
Complex fuzzy sets, complex bipolar fuzzy relations, complex bipolar fuzzy matrices, distance measure
Journal
40
Issue
ISSN
Citations 
3
1064-1246
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Muhammad Gulistan1287.63
Naveed Yaqoob242.41
Ahmed Elmoasry300.68
Jawdat Alebraheem400.34