کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
495768 862837 2014 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An improved ranking method for fuzzy numbers with integral values
ترجمه فارسی عنوان
روش رتبه بندی پیشرفته برای اعداد فازی با مقادیر انتگرال
کلمات کلیدی
رتبه بندی اعداد فازی، ارزش یکپارچه، شاخص خوش بینی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی


• Shortcomings of Liou and Wang's (1992) fuzzy number ranking method are discussed.
• An improved method that can overcome these shortcomings is proposed.
• Validity and advantages are illustrated through several comparative examples.

Ranking fuzzy numbers is a very important decision-making procedure in decision analysis and applications. The last few decades have seen a large number of approaches investigated for ranking fuzzy numbers, yet some of these approaches are non-intuitive and inconsistent. In 1992, Liou and Wang proposed an approach to rank fuzzy number based a convex combination of the right and the left integral values through an index of optimism. Despite its merits, some shortcomings associated with Liou and Wang's approach include: (i) it cannot differentiate normal and non-normal fuzzy numbers, (ii) it cannot rank effectively the fuzzy numbers that have a compensation of areas, (iii) when the left or right integral values of the fuzzy numbers are zero, the index of optimism has no effect in either the left integral value or the right integral value of the fuzzy number, and (iv) it cannot rank consistently the fuzzy numbers and their images.This paper proposes a revised ranking approach to overcome the shortcomings of Liou and Wang's ranking approach. The proposed ranking approach presents the novel left, right, and total integral values of the fuzzy numbers. The median value ranking approach is further applied to differentiate fuzzy numbers that have the compensation of areas. Finally, several comparative examples and an application for market segment evaluation are given herein to demonstrate the usages and advantages of the proposed ranking method for fuzzy numbers.

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ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Soft Computing - Volume 14, Part C, January 2014, Pages 603–608
نویسندگان
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