This paper proposes a new method for finding fuzzy weights in the fuzzy analytic hierarchy process (FAHP), which fuzzifies the derived formulation of an eigenvector directly. The presented formulation only needs information about the upper triangular matrix and the assumption about the reciprocal matrix is not necessary. This characteristic makes the FAHP feasible because the property of recipr...

LR fuzzy numbers are quite common in real world applications involving the triangular fuzzy number, the Gaussian fuzzy number, and the Cauchy fuzzy number as special cases. In this paper, we first prove that a fuzzy number is an LR fuzzy number if and only if its credibility distribution is strictly increasing. After that, based on credibility measure, an operational law on independent LR fuzzy...

Properties of fuzzy complementary preference relation have been studied. Based on the transformation between fuzzy complementary preference relation and reciprocal fuzzy preference relation, this paper proposes definitions of additive consistency for fuzzy complementary preference relation, gives the concepts of restricted max-min transitivity, restricted max-max transitivity and weak monotonic...

The TOPSIS process is one of the most comprehensive systems designed for decision making with multiple criteria, since this technique enables formulation of the problem as decision matrix, as well as the possibility of considering different quantitative and qualitative criteria in the problem. Fuzzy TOPSIS methods have been introduced to make fundamental decisions that make decisions decisions ...

Abstract Numerous research papers and several engineering applications have proved that the fuzzy set theory is an intelligent effective tool to represent complex uncertain information. In multi-criteria decision-making (fuzzy MCDM) methods, information system control-theoretic models, qualitative are extracted from expert’s knowledge as linguistic variables modeled by linear/non-linear numbers...

In view of the shortage of e-insensitive loss function for Gaussian noise, this paper presents a new version of fuzzy support vector machine (SVM) which can penalize Gaussian noise to forecast fuzzy nonlinear system. Since there exist some problems of finite samples and uncertain data in many forecasting problem, the input variables are described as crisp numbers by fuzzy comprehensive evaluati...

In this paper we propose a Ping – Pong transitions on web applications. The numerical values of parameters in real time situations are not exactly predictable; to overcome this we are using a fuzzy criterion through possibilities which are represented as a triangular fuzzy number. We introduce a method to study the long term behavior (steady state) of Ping – Pong transitions using Fuzzy Markov ...