here, we propose a fuzzy analytic hierarchy process (fahp) method to evaluate the alternatives of enterprise resource planning (erp) system. the fuzzy ahp approach allows the users get values more accurately to model the vagueness which changes according subjective ideas in the decision-making environment for erp system selection problem. therefore, fuzzy ahp method is used to obtain firm decis...

In this paper, the probabilistic version of intuitionistic fuzzy decision making methods is introduced to show duality present within distance. Here, two types methods, namely, TOPSIS (PI-TOPSIS) algorithm and face identification (PIFI) are proposed. The PI-TOPSIS utilizing distance as separation measure; for its justification rankings reduced information loss multi criteria problems compared. ...

The objective of this work is to present a triangular interval type-2 (TIT2) intuitionistic fuzzy sets and their corresponding aggregation operators, namely, TIT2 intuitionistic fuzzy weighted averaging, TIT2 intuitionistic fuzzy ordered weighted averaging and TIT2 intuitionistic fuzzy hybrid averaging based on Frank norm operation laws. Furthermore, based on these operators, an approach to mul...

The concept of intuitionistic fuzzy sets is the generalization of the concept of fuzzy sets. The theory of intuitionistic fuzzy sets is well suited to dealing with vagueness. Recently, intuitionistic fuzzy sets have been used to build soft decision making models that can accommodate imprecise information, and two solution concepts about the intuitionistic fuzzy core and the consensus winner for...

The interval-valued intuitionistic fuzzy set (IVIFS) which is an extension of the Atanassov’s intuitionistic fuzzy set is a powerful tool for modeling real life decision making problems. In this paper, we propose the emph{generalized interval-valued intuitionistic fuzzy Hamacher generalized Shapley Choquet integral} (GIVIFHGSCI) and the emph{interval-valued intuitionistic fuzzy Hamacher general...

Recent literature on fuzzy numbers is rich of several approaches to approximate operations between fuzzy numbers. The desirable feature is to preserve the real shape of the fuzzy numbers resulting from the operations, without loosing in simplicity and applicability and in goodness of the approximations. In some recent papers we introduce a representation of the fuzzy numbers, based on the use o...