## 1 Introduction  
In daily life, we always face various decision making pursuits. Some decision are simple and some are complex. When one faces a complex problem with conflicting criteria, an effective decision making method becomes helpful to make an acceptable and reasonable decision. Decision making is a key component for achieving objectives in diverse areas. Usually a conflict occurs when two people have different points of view about the same event or thing. The study of conflict is of utmost importance both practically and theoretically. No doubt its importance is increasing nowadays, as huge social networks based on cell phones, tablets, computers, and other gadgets and systems of computers play a paramount role in society [1]. There is always an uncertainty about agreement, disagreement, and neutrality in a conflict situation among agents. To deal with such situations, the main aim is how to model the uncertainty in conflict [2].  
[PERSON] applied rough set theory to the study of conflict analysis in Reference [3]. He also found a mathematical formulation for a conflict situation based on agreement, disagreement, and neutrality, and gave the axioms for these sets. Subsequently, [PERSON] put forward an extension and generalization of [PERSON]'s model by adding some local aspects [2]. [PERSON] conflict analysis model has certain limitations, for example, it cannot deal with intrinsic causes in the Middle East conflict. Another flaw of [PERSON]'s model is that, it has failed to find a feasible consensus strategy for solving a conflict. In Reference [4], [PERSON] et al. developed a conflict analysis model based on rough set theory over two universes to overcome the above mentioned shortcomings in [PERSON]'s conflict analysis. But in their proposals, still there are many areas for critique, for example, the development of a proper and feasible consensus strategy is missing.  
As a general mathematical tool while dealing with uncertainty, [PERSON] proposed soft set theory in Reference [5]. [PERSON] et al. further strengthened the theory; they introduced several algebraic operations and examined their basic properties in Reference [6], which was later corrected by [PERSON] et al. [7]. More on soft equivalence relations can be seen in Reference [8]. Applications of soft sets (hybrid soft sets) in decision making problems have been widely studied by many authors in different contexts (see References [9; 10; 11; 12; 13; 14; 15; 16; 17; 18; 19; 20; 21; 22; 23; 24]). Many decision making problems have been characterized by the ranking of objects according to a set of criteria with predefined preference ordered decision classes, such as credit approval, stock risk estimation, university ranking, teaching evaluation, etc. (see References [25; 26; 27]). A recent work on the tolerance rough set can be found in Reference [28]. Many authors used the game theoretic rough sets model to construct a mechanism for analyzing the uncertainties of rough set theory [29; 30; 31; 32]. In the present paper, we developed a new conflict analysis model, which is based on soft preference relation and soft dominance relation, to study the Middle East conflict situation. Further, we answered different questions raised by various authors in an affirmative way. A general technique for the conflict problem is proposed and examined and our newly developed model is more efficient than the existing techniques/models.  
The rest of the paper is arranged as follows: Section 2 briefly reviews the [PERSON] conflict analysis model followed by the [PERSON], together with [PERSON] et al., conflict analysis models. Drawbacks of the [PERSON] et al. conflict model are also discussed in this section. Section 3 consists of the proposed conflict analysis model based on soft set theory. Various uncertainties have been studied, which tried to address the shortcomings of [PERSON]'s model.