A Method for AHP Fuzzy by Applying "Zade" Extension Principle

Subject Areas : Statistics

mohammad ali jahantighi ¹ , reza kargar ²

1 - Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University, Zahedan Branch, Zahedan, Iran
2 - Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University, Qom Branch, Qom, Iran

Received: 2018-10-14 Accepted : 2020-01-09 Published : 2020-08-22

Keywords: بهینه سازی, , ماتریس فازی زوجی, منطق فازی, فرایند تحلیل سلسله مراتبی, اصل گسترش" زاده", ژنتیک آلگوریتم,

Abstract :

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.

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