Affiliations: [a] Department of Mathematics, University of the Punjab, Lahore, Pakistan
| [b] Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey
Correspondence:
[*]
Corresponding author. Tofigh Allahviranloo, Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul,
Turkey. E-mail: [email protected].
Abstract: In this paper, we present the notion of m-polar fuzzy number(m-PFN) along with some properties. Further, we describe the m-polar fuzzy linear system of equations (m-PFLSEs) along with weak and strong solutions. Moreover, we characterize a new technique to find the solution of fully m-PFLSE using one-cut extension. By applying this technique, we calculate the minimal and maximal symmetric solutions (SSs) of the fully m-PFLSEs which based on a controllable solution set (CSS) and a tolerable solution set (TSS), respectively. We consider an example to find the solutions of fully m-PFLSEs. In the end, we prove some elementary results on the base of our proposed method.
Keywords: m-PFN, m-PFLSEs, fullym-PFLSEs, minimal and maximal symmetric solution
