A New Approach For the Ranking of Fuzzy Sets With Different Heights

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Pushpinder Singh

Abstract

Ranking of fuzzy sets plays an important role in decision making, optimization, forecasting, etc. Fuzzy sets must beranked before an action is taken by a decision maker. Fuzzy sets with different heights are a generalization of theordinary fuzzy sets. In this paper, with the help of several counterexamples, it is proved that the ranking methodproposed by Lee and Chen (Expert Systems with Applications 34, 2008, 2763-2771) is incorrect. The main aim of thispaper is to propose a new approach for the ranking of fuzzy sets with different heights. The main advantage of theproposed approach is that with it the correct ordering of fuzzy sets with different heights, and also the results of theproposed ranking method and the existing ranking method, can be compared.

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How to Cite
Singh, P. (2012). A New Approach For the Ranking of Fuzzy Sets With Different Heights. Journal of Applied Research and Technology, 10(6). https://doi.org/10.22201/icat.16656423.2012.10.6.354
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