International Journal of Industiral Engineering & Producion Research نشریه بین المللی مهندسی صنایع و تحقیقات تولید IJIEPR Engineering & Technology http://ijiepr.iust.ac.ir 18 agent2 2008-4889 2345-363X 10.22068/ijiepr en jalali 1392 6 1 gregorian 2013 9 1 24 3 online 1 fulltext
en Deriving Fuzzy Inequalities Using Discrete Approximation of Fuzzy Numbers و موضوعات مربوط Other Related Subject پژوهشي Research 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. Fuzzy number comparison, Fuzzy inequality, Fuzzy number ordering. 207 216 http://ijiepr.iust.ac.ir/browse.php?a_code=A-10-348-1&slc_lang=en&sid=1 Navid Khademi navid.khademi@ens-cachan.fr `180031947532846003188` 180031947532846003188 Yes Senior Researcher Afshin Shariat Mohaymany navid.khademi@ens-cachan.fr `180031947532846003189` 180031947532846003189 No Assistant Professor Jalil Shahi shahi@iust.ac.ir `180031947532846003190` 180031947532846003190 No Associate Professor Mojtaba Rajabi mojtaba_rajabi@civileng.iust.ac.ir `180031947532846003191` 180031947532846003191 No Senior Researcher