امیر محمدقاسمی - Department of Management, Zabol Branch, Islamic Azad University, Zabol, ‎Iran‎.
عبدالله هادی ونچه - Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, ‎Iran‎.

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 alpha–cuts 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.

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