文章基本信息

标题：A New Approach for Ranking Shadowed Fuzzy Numbers and its Application
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作者：Mohamed A. H. El-Hawy
期刊名称：International Journal of Computer Science & Information Technology (IJCSIT)
印刷版ISSN：0975-4660
电子版ISSN：0975-3826
出版年度：2020
卷号：12
期号：6
页码：17-32
DOI：10.5121/ijcsit.2020.12602
出版社：Academy & Industry Research Collaboration Center (AIRCC)
摘要：In many decision situations, decision-makers face a kind of complex problems. In these decision-making problems, different types of fuzzy numbers are defined and, have multiple types of membership functions. So, we need a standard form to formulate uncertain numbers in the problem. Shadowed fuzzy numbers are considered granule numbers which approximate different types and different forms of fuzzy numbers. In this paper, a new ranking approach for shadowed fuzzy numbers is developed using value, ambiguity and fuzziness for shadowed fuzzy numbers. The new ranking method has been compared with other existing approaches through numerical examples. Also, the new method is applied to a hybrid multi-attribute decision making problem in which the evaluations of alternatives are expressed with different types of uncertain numbers. The comparative study for the results of different examples illustrates the reliability of the new method.
关键词：Fuzzy numbers;Intuitionistic fuzzy numbers;Shadowed sets;Shadowed fuzzy numbers;Ranking;Fuzziness measure