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A Method for AHP Fuzzy by Applying "Zade" Extension Principle | ||
| Journal of New Researches in Mathematics | ||
| مقاله 11، دوره 6، شماره 25، آذر و دی 2020، صفحه 149-158 اصل مقاله (373.35 K) | ||
| نوع مقاله: research paper | ||
| نویسندگان | ||
mohammad ali jahantighi  1؛ reza kargar2
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| 1Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University, Zahedan Branch, Zahedan, Iran | ||
| 2Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University, Qom Branch, Qom, Iran | ||
| چکیده | ||
| The hierarchy analysis process is one of the most comprehensive systems designed for decision making with multiple criteria, since this technique provides the possibility of formulating the problem in a hierarchical manner, as well as the possibility of considering different quantitative and qualitative criteria. The process involves various options in decision making and the ability to analyze the sensitivity of the criteria and sub-criteria. In addition, it is based on a paired comparison that facilitates judgment and computation. This model starts with the identification and prioritization of decision elements. These elements include goals, criteria and possible options, the process of identifying these elements and the relationship between them ultimately leads to the creation of a hierarchical structure. But in many cases, some or all of the data are fuzzy decision making, so it is necessary to consider uncertainty in such a decision model in the decision model. This article tries to take a fresh look at the issue of fuzzy hierarchy analysis. This view is influenced by the flaws in the fuzzy methods and group decision-making methods such as Delphi. | ||
| کلیدواژهها | ||
| Analytical Hierarchy Process؛ Zygotic Fuzzy Matrix؛ Principle of Spreading "Zadeh"؛ Genetic Algorithm؛ Optimization؛ Fuzzy Logic | ||
| مراجع | ||
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[1] Vasudevan Ramanujam, Thomas L. Saaty, Technological choice in the less developed countries: An analytic hierarchy approach, Technological Forecasting and Social Change,Volume 19, Issue 1, February 1981, Pages 81–98. [2] T.L. Saaty, Introduction to a modeling of social decision processes, Mathematics and Computers in Simulation, Volume 25, Issue 2, April 1983, Pages 105–107. [3] Thomas L. Saaty, Exploring optimization through hierarchies and ratio scalesSocio-Economic Planning Sciences, Volume 20, Issue 6, 1986, Pages 355–360 “Special Issue the Analytic Hierarchy Process” [4] Thomas L. Saaty, The analytic hierarchy process—what it is and how it is used, Mathematical Modeling, Volume 9, Issues 3–5, 1987, Pages 161–176. [5] Thomas L. Saaty , How to make a decision: The analytic hierarchy process, European Journal of Operational Research, Volume 48, Issue 1, 5 September 1990, Pages 9–26. | ||
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