Affiliations: [a] Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
| [b] Department of Mathematics, King Abdulaziz University Jeddah, Saudi Arabia
Correspondence:
[*]
Corresponding author. Nawab Hussain, Department of Mathematics, King Abdulaziz University P.O Box 80203, Jeddah 21589, Saudi Arabia. E-mail: nhusain@kau.edu.sa.
Abstract: The notions of center and distance between two Parametric Bipolar Fuzzy Numbers (PBFNs) by giving the preference of right dominance as compared to the left dominance are presented. The solution of Bipolar Fuzzy System of Linear Equations (BFSLEs) is discussed with polynomial parametric bipolar fuzzy number coefficients matrix having crisp real variables and the right-hand side is polynomial parametric bipolar fuzzy numbers. Some of their related properties are investigated. It is proved that if the real coefficient matrix considered as crisp in an original system, while the unknown variable vectors and Right Hand Side (RHS) column vector functions are treated as PBFNs, then initially, the general BFSLEs in polynomial parametric form is solved by the addition and subtraction of the vectors of the lower and upper bound, respectively. The solution procedure is computationally efficient in a bipolar fuzzy environment, and our proposed method is simple as well as efficient to handle the BFSLEs.
Keywords: Polynomial PBFNs, center, distance, BFSLEs
