In the present paper, the study of fully fuzzy linear fractional programming problem (FFLFPP) using graded mean integration representation method is discussed where all the parameters and variables are characterized by trapezoidal fuzzy numbers. A computational algorithm has been presented to obtain an optimal solution by applying simplex method. To demonstrate the applicability of the proposed...

This paper develops a quality estimation method with the application of fuzzy hierarchical clustering. Quality estimation is essential to quality control and quality improvement as a precise estimation can promote a right decision-making in order to help better quality control. Normally the quality of finished products in manufacturing system can be differentiated by quality standards. In the r...

Analytical structure for a fuzzy PID controller is introduced by employing two fuzzy sets for each of the three input variables and four fuzzy sets for the output variable. This structure is derived via left and right trapezoidal membership functions for inputs, trapezoidal membership functions for output, algebraic product triangular norm, bounded sum triangular co-norm, Mamdani minimum infere...

Project selection is considered as an important problem in project management. It is multi-criteria in nature and is based on various quantitative and qualitative factors. The main purpose of this paper is to present a new rank-based method for project selection in outranking relation. According to this approach, decision alternatives were clustered in the concordance matrix and the discordance...

In this paper we propose a fuzzy TOPSIS (Technique for Order Performance by Similarity to Idea Solution) model using O(m, n)-Trapezoidal Type Fuzzy Number (O(m,n)-Tr.T.F.N.) and possibility theory. An application in the form of an example to the vendor selection problem in supply chain management is presented towards the end of the paper to highlight the salient points in the proposed possibili...

In this paper, we present a new method for ranking generalized trapezoidal fuzzy numbers (GTrFNs) based on Ochiai index and Hurwicz criterion. The proposed ranking method considers all types of decision makers’ perspective such as optimistic, neutral and pessimistic which is crucial in solving decision-making problems. The proposed method can discriminate the ranking result of GTrFNs having the...

In the fuzzy arithmetic, the definitions of addition and multiplication of fuzzy numbers are based on Zadeh’s extension principle. From theoretical and practical points of view, this multiplication of fuzzy numbers owns several unnatural properties. Recently, to avoid this shortcoming, a new multiplicative operation of product type is introduced, the so-called cross-product of fuzzy numbers. Th...

In this paper, the fuzzy logic and trapezoidal intuitionistic number were presented, as well some properties of semi- parametric logistic regression model when using number. The output variable represents dependent sometimes cannot be determined in only two cases (response, non-response)or (success, failure) more than responses, especially medical studies; therefore so, use a semi with (depende...