Vikr Theory Of Decision Making

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Abstract:Decision making is the process of finding the best option among the feasible alternatives. In classical multiple criteria decision making methods, the ratings and the weights of the criteria are known precisely. However, if decision makers are not able to involve uncertainty in the defining of linguistic variables based on fuzzy sets, the intuitionistic fuzzy set theory can do this job very well. In this paper, VIKOR method is extended in intuitionistic fuzzy environment, aiming at solving multiple-criteria decision making problems in which the weights of criteria and ratings of alternatives are taken as triangular intuitionistic fuzzy set. For application and verification, this study presents a logistic service provider selection…show more content…
Most of the complex real life problems are with conflicting multi-criteria. A lot of work has been done on these complex structured multi-criteria problems and many methods are proposed to deal with them. MCDM methods are an extensively applied tool for determining the best solution among several alternatives with multiple criteria or attributes. The procedures for determining the best solution to a MCDM problem include computing the utilities of alternatives and ranking these utilities. The alternative solution with the largest utility is considered to be the optimal solution. Due to the complex structure of the problem and conflicting nature of the criteria, a compromise solution for a problem can help the decision maker to reach a final decision. Recently Opricovic and Tzeng [15] has developed VIKOR method for multi-attribute optimization of complex systems. It determines the compromise ranking list, the compromise solution, and the weight stability intervals for preference stability of the compromise solution obtained with initial given weights. The method focuses on ranking and selecting from a set of alternatives in the presence of conflicting attributes. The VIKOR method provides a maximum group utility for the majority and a minimum of an individual regret for the opponent. It introduces the multi-attribute ranking indexes based on the particular measure of closeness to the ideal solution.…show more content…
As Fuzzy set theory (Zimmerman, 1983, 1987) [25, 26] came into existence, many extensions of fuzzy sets also have appeared over the time and traditional fuzzy decision making models have been extended to include these extended fuzzy type descriptions. One among these extensions of fuzzy sets is Intuitionistic Fuzzy Sets (IFSs) (Atanassov, 1986) [3] playing an important role in decision making and have gained popularity in recent years. In IFS theory sum of degree of membership and degree of non-membership do not simply equals one as in the conventional fuzzy sets. Such an extended definition helps more adequately to represent situations when decision maker obtain from expressing their assessments. By this way, IFSs provide a richer tool to grasp imprecision than the conventional fuzzy sets. This feature of IFSs has led to extend VIKOR in intuitionistic fuzzy (IF)-environment.
In order to achieve the above purposes, this paper’s organization structure is as follows. In the next section, we represent the IFS, HIFEs, IHFSs, the traditional VIKOR method. In section 3, we extend the traditional VIKOR method based on intuitionistic hesitant fuzzy set, and an approach is given. In Section 4, we give a numerical example to elaborate the effectiveness and feasibility of our

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