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Information Journal Paper

Title

FUZZY RISK ANALYSIS BASED ON RANKING OF FUZZY NUMBERS VIA NEW MAGNITUDE METHOD

Pages

  17-29

Abstract

 Ranking FUZZY NUMBERS plays a main role in many applied models in real world and in particular DECISION-MAKING procedures. In many proposed methods by other researchers may exist some shortcoming. The most com-monly used approaches for RANKING FUZZY NUMBERS is based on defuzzification method. Many RANKING FUZZY NUMBERS cannot discriminate between two symmetric FUZZY NUMBERS with identical core. In 2009, Abbasbandy and Hajjari proposed an approach for RANKING normal trapezoidal FUZZY NUMBERS, which computed the MAGNITUDE of FUZZY NUMBERS namely \Mag" method. Then Ha-jjari extended it for non-normal trapezoidal FUZZY NUMBERS and also for all generalized FUZZY NUMBERS. However, these methods have the weakness that we mentioned above. Moreover, the result is not consistent with human intu-ition in this case. Therefore, we are going to present a new method to overcome the mentioned weakness. In order to overcome the shortcoming, a new magni-tude approach for RANKING trapezoidal FUZZY NUMBERS based on minimum and maximum points and the value of FUZZY NUMBERS is given. The new method is illustrated by some numerical examples and in particular, the results of RANKING by the proposed method and some common and existing methods for RANKING FUZZY NUMBERS is compared to verify the advantages of presented method.

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    APA: Copy

    HAJJARI, T.. (2015). FUZZY RISK ANALYSIS BASED ON RANKING OF FUZZY NUMBERS VIA NEW MAGNITUDE METHOD. IRANIAN JOURNAL OF FUZZY SYSTEMS, 12(3), 17-29. SID. https://sid.ir/paper/692438/en

    Vancouver: Copy

    HAJJARI T.. FUZZY RISK ANALYSIS BASED ON RANKING OF FUZZY NUMBERS VIA NEW MAGNITUDE METHOD. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2015;12(3):17-29. Available from: https://sid.ir/paper/692438/en

    IEEE: Copy

    T. HAJJARI, “FUZZY RISK ANALYSIS BASED ON RANKING OF FUZZY NUMBERS VIA NEW MAGNITUDE METHOD,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 12, no. 3, pp. 17–29, 2015, [Online]. Available: https://sid.ir/paper/692438/en

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