This paper suggests  a novel approach for ranking the most applicable fuzzy numbers, i.e.  $LR$-fuzzy numbers. Applying the  $alpha$-optimistic values of a fuzzy number, a preference criterion is proposed for ranking fuzzy numbers using the Credibility index. The main properties of the proposed  preference criterion  are also studied.  Moreover, the proposed method is   applied for ranking fuzz...

Abstract: In this paper we improvise the work of Wang & Chen (2006) that used fuzzy numbers in the computation of consistent fuzzy preference relation (CFPR). Using the Herrera-Viedma et al. (2004) approach, we incorporate the centroid-index formula in constructing the evaluation matrices with fuzzy number elements. This will transform the fuzzy numbers into crisp values. The number of pair-wis...

the objective of this article is to develop an empirically based framework for formulating and selecting a vendor in supply chain. this study applies the fuzzy set theory to evaluate the vendor selection decision. applying analytic hierarchy process (ahp) in obtaining criteria weights and applied technique for order performance by similarity to idea solution (topsis) for obtaining final ranking...

Ranking fuzzy numbers plays a main role in many applied models inreal world and in particular decision-making procedures. In manyproposed methods by other researchers may exist some shortcoming.The most commonly used approaches for ranking fuzzy numbers isbased on defuzzification method. Many ranking fuzzy numberscannot discriminate between two symmetric fuzzy numbers withidentical core. In 200...

In this paper, we present a new method for ranking generalized fuzzy numbers for dealing with fuzzy risk analysis problems. The proposed method considers the defuzzified values, the heights and the spreads of generalized fuzzy numbers, simultaneously, for ranking generalized fuzzy numbers. It gets better ranking results to rank generalized fuzzy numbers than the existing methods. We also apply ...

food industries as one of the most important industries in the country are an urgent need to supply raw materials at the macro and micro levels. so one of the main sections requiring serious study is supply chain management and suppliers issues in food industries. the purpose of this study is to identify the criteria to evaluate and rank the suppliers by using fuzzy topsis technique in pabas pr...

the failure mode and effects analysis (fmea) is a widely used analytical technique that helps to identify and reduce the risks of failure in a system, component, or process. one important issue of fmea is the determination of the risk priorities of failure modes. risk ranking is produced in order to prioritize the focus on each of the failure modes that are identified. in this study, we applied...

the objective of this article is to develop an empirically based framework for formulating and selecting a vendor in supply chain. this study applies the fuzzy set theory to evaluate the vendor selection decision. applying analytic hierarchy process (ahp) in obtaining criteria weights and applied technique for order performance by similarity to idea solution (topsis) for obtaining final ranking...

The TODIM is a valuable technique for solving classical MCDM problems in case of considering the decision maker’s psychological behavior. One main goal of this chapter is to introduce the measured functions-based hesitant fuzzy TODIM technique to deal with the behavioral MCDM problem under hesitant fuzzy environments. The main advantages of this technique are that (1) it can handle the MCDM pro...