Volume 24, Issue 3 (IJIEPR 2013)                   IJIEPR 2013, 24(3): 207-216 | Back to browse issues page

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Khademi N, Shariat Mohaymany A, Shahi J, Rajabi M. Deriving Fuzzy Inequalities Using Discrete Approximation of Fuzzy Numbers. IJIEPR 2013; 24 (3) :207-216
URL: http://ijiepr.iust.ac.ir/article-1-300-en.html
Deriving Fuzzy Inequalities Using Discrete Approximation of Fuzzy Numbers
Navid Khademi 1, Afshin Shariat Mohaymany2 , Jalil Shahi3 , Mojtaba Rajabi4
1- Senior Researcher , navid.khademi@ens-cachan.fr
2- Assistant Professor
3- Associate Professor
4- Senior Researcher
Abstract:   (6867 Views)
Most of the researches in the domain of fuzzy number comparisons serve the fuzzy number ordering purpose. For making a comparison between two fuzzy numbers, beyond the determination of their order, it is needed to derive the magnitude of their order. In line with this idea, the concept of inequality is no longer crisp however it becomes fuzzy in the sense of representing partial belonging or degree of membership. In this paper we propose a method for capturing the membership degree of fuzzy inequalities through discretizing the μ-axis into equidistant intervals. It calculates m in the fuzzy inequalities ≤ m and ≥m among two normal fuzzy numbers. In this method, the two μ-axis based discretized fuzzy numbers are compared point by point and at each point the degree of preferences is identified. To show its validity, this method is examined against the essential properties of fuzzy number ordering methods in [Wang, X. and E.E. Kerre, Reasonable properties for the ordering of fuzzy quantities (I). Fuzzy Sets and Systems, 2001. 118(3): p. 375-385.] The result provides promising outcomes that may be useful in the domain fuzzy multi criteria or multi-attribute decision making analysis and also fuzzy mathematical programming with fuzzy inequality constraints.
Keywords: Fuzzy number comparison, Fuzzy inequality, Fuzzy number ordering.
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Type of Study: Research | Subject: Other Related Subject
Received: 2011/08/29 | Accepted: 2013/09/28 | Published: 2013/09/28
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