Determining ‎N‎ormalized Crisp Weights From Fuzzy Comparison Matrices Using an Improved Two-Stage Logarithmic Goal Programming Model

Subject Areas : International Journal of Industrial Mathematics

امیر محمدقاسمی ¹ , عبدالله هادی ونچه ²

1 - Department of Management, Zabol Branch, Islamic Azad University, Zabol, Iran.
2 - Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran.

Received: 2018-11-25 Accepted : 2021-02-10 Published : 2023-07-01

Keywords: Multi criteria decision making, fuzzy sets, Optimization, Alpha–cut, Fuzzy Analytical Hierarchy Process,

Abstract :

Two-stage logarithmic goal programming (TLGP) is one of the weighting technologies from fuzzy comparison matrices. But, it only present the interval weights at all alphacuts under each criterion when usage of the TLGP. In this paper, we improve this limitation of TLGP using an proposed index. Finally, the two real illustrative examples in literature are considered to show the verification of the proposed index.