A Novel Method for Fuzzy Multi-Criteria Decision Making

Abstract

To determine the weight vector and to aggregate the individual opinions are necessary steps in the classical methods for multi-criteria group decision-making problems in which the weight vectors of the decision makers and the criteria are incompletely known. In this paper, we propose a simple but e±cient approach which can avoid these steps by establishing some optimal models. To get the optimal group decision matrix, we¯rst propose two kinds of models among which the former focuses on minimizing the deviations between individual decision matrix and the ideal group one, while the latter aims at minimizing the deviations between the estimated group opinion and the ideal group one. To get the overall performances of alternatives, another two types of models are further established, one of which is to minimize the distance between the evaluation value under each criterion and the ideal overall value for each alternative, and the other is to minimize the distance between the estimated overall value and the ideal overall one. The proposed models can be used to deal with group decision-making under intuitionistic fuzzy, interval-valued fuzzy or other fuzzy environments, and can also provide the decision makers more choices by containing the parameter which can be assigned di®erent values according to di®erent actual situations. Several examples illustrate the practicability of the proposed methods.

A Fuzzy Linguistic Extended LibQUAL+ Model to Assess Service Quality in Academic Libraries

“…The computation method of the evaluation model proposed in this study resembles a multi-person multi-criteria decision-making problem. [46][47][48] In this kind of problems, the objective is to obtain the best alternatives according to the evaluations given by a group of decision makers concerning a set of evaluation criteria. To do so, by means of the aggregation of the assessments expressed by the decision makers, the quality of the alternatives is obtained and, next, the exploitation of the quality values leads to the choice of the best alternatives.…”

Novel Development to the Theory of Dombi Exponential Aggregation Operators in Neutrosophic Cubic Hesitant Fuzzy Sets: Applications to Solid Waste Disposal Site Selection

“…Different researchers [5][6][7][8] established similarity measures and other important concepts and successfully applied their models to medical diagnosis and selection criteria. Krohling et al established different useful techniques to sort out MADM problems [9][10][11]. Jun et al combined IVFS and FS to form a cubic set (CS).…”

NN-Harmonic Mean Aggregation Operators-Based MCGDM Strategy in a Neutrosophic Number Environment

“…They have been developed in many directions, such as crisp environments [1,2], and uncertain environments, namely fuzzy environments [3][4][5][6][7][8][9][10][11][12][13], intuitionistic fuzzy environments [14][15][16][17][18][19][20][21][22][23][24], and neutrosophic set environments . Smarandache [46,47] introduced another direction of uncertainty by defining neutrosophic numbers (NN), which represent indeterminate and incomplete information in a new way.…”