Decision Maker Priority Index and Degree of Vagueness Coupled Decision Making Method: A Synergistic Approach

摘要

Fuzziness or vagueness is an inherent property of decision making process which arises as a result of psychological perspective of human or due to imprecise-ness in physical nature of problem. Along with this property, another psychological aspect namely non-deterministic nature of decision maker measured by priority index is also closely intrigued with the process of decision making. The purpose of the study is to develop a robust multi-criteria decision making model that considers the non-deterministic nature of decision maker along with the vagueness in decision. In order to capture the both qualities, ratings of alternatives versus criteria are assessed in the form of parametric interval valued intuitionistic fuzzy number (PIVIFN). Moreover, with each decision making model is associated a risk factor for not attaining the global best result. Therefore, in the model, for minimizing the risk associated the decision matrix is converted into relative benefit matrix. In addition to these, an accurate defuzzification method is developed using the Riemann integral method. Different properties, theorems and operators are redefined for PIVIFN. Finally, the model is used for solving a site selection problem. In order to test the feasibility of the proposed model, the same problem is solved by several other established models from the literatures.