A more efficient conflict analysis based on soft preference relation

Article type: Research Article

Authors: Ali, Abbas^a | Ali, Muhammad Irfan^b | Rehman, Noor^{a; *}

Affiliations: [a] Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan | [b] Islamabad Model College for Girls, F-6/2, Islamabad, Pakistan

Correspondence: [*] Corresponding author. Noor Rehman, Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan. E-mails: noor.rehman@riphah.edu.pk; noorrehman82@yahoo.com.

Abstract: Conflicts and disagreements are associated with issues related to living beings in particular with humans. Certain steps towards resolving these issues help to minimize conflict. Very few researchers paid their attention towards this important topic to develop some techniques which are based on mathematical methods. Rough set theory as a new and powerful mathematical tool to handle uncertainty in decision making problems was used to study conflict analysis and decision making. Afterwards the Pawlak conflict analysis model was established. Subsequently Deja put forward some questions which are not answered by Pawlak conflict analysis model. In the present paper firstly, we introduce the notions of soft preference relation and soft dominance relation and analyzed the Middle East conflict. Secondly, we answered the questions posed by Deja. Thirdly, two new techniques of reduction of parameters/attributes are introduced and applied to the Middle East conflict.

Keywords: Conflict analysis, prefernce relation, soft preference relation

DOI: 10.3233/JIFS-171172

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 283-293, 2018