Affiliations: [a] Department of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, Pakistan
| [b] Division of science and technology, Department of Mathematics, University of Education Lahore, Attock campus, Punjab, Pakistan
| [c] Department of Mathematics, University of Chakwal, Punjab, Pakistan
| [d] School of Physics, Damghan University, Damghan, Iran
Correspondence:
[*]
Corresponding author. Waqar Arif, Department of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, Pakistan. E-mail: waqarvicky6699@gmail.com.
Abstract: In this manuscript, we develop TOPSIS (Technique for order of preference by similarity to ideal solution) method in the setting of bipolar fuzzy environment which has the ability to deal the data while keeping in view the positive and negative aspects. By using bipolar fuzzy sets, we establish the novel concept of rating the numerous preferences of any object described through the connection number(CN) of set pair analysis(SPA). In this regard, we extend the TOPSIS method based on the connection number(CN) of set pair analysis(SPA) in the frame of bipolar fuzzy sets. For the sake of verification, effectiveness and superiority of our method, we conduct the comparative study of some real life problem related to decision making theory. Moreover, we observe that our proposed method also fulfills the existing test criterions.
