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11. An intuitionistic fuzzy data envelopment analysis for efficiency evaluation under ucertainty: case of a finance and credit institution

Author

Hajiagha, Seyed Hossein Razavi, Akrami, Hadi, Kazimieras Zavadskas, Edmundas, and Hashemi, Shide Sadat

Subjects
hodnocení výkonu, model BCC, intuicionistické fuzzy množiny, analýza obalu dat, operátor agregace, Mathematics::General Mathematics, BCC model, intuitionistic fuzzy sets, aggregation operator, data envelopment analysis, performance evaluation
Abstract

Performance evaluation is a challenging issue for managers. Data envelopment analysis is a non parametric and linear programming based approach to appraise the relative efficiency of a set of congruent units. One of the shortcomings of classic data envelopment model is their crispness of data. In this paper, a data envelopment model is extended in which inputs and outputs are ambiguous and are expressed in the form of intuitionistic fuzzy sets. The proposed method is extended based on a weighted aggregation operator which is defined for intuitionistic fuzzy data. This model applied the advantages of intuitionistic fuzzy data in capturing the uncertainty. The main advantages of the proposed method are its simplicity and consistency with classic models. The proposed method is applied in a real instance and its results are examined.

Published
2013

22. Fuzzy Multi-Objective Linear Programming Based on Compromise VIKOR Method.

Author

Razavi Hajiagha, Seyed Hossein, Mahdiraji, Hannan Amoozad, Zavadskas, Edmundas Kazimieras, and Hashemi, Shide Sadat

Subjects
LINEAR programming, FUZZY decision making, MULTIPLE criteria decision making, MATHEMATICAL optimization, FUZZY sets
Abstract

Real-world decision-making problems often consist in considering multiple and antithetic objectives. Therefore, multi-objective decision making (MODM) is a practical framework in implicational areas. In this paper, a fuzzy MODM problem is considered, where all of its parameters are defined fuzzily, and a solution inspired by multi-attribute VIKOR method is proposed. The proposed method tries to find fuzzy efficient solution for a problem by minimizing its combinational distance from an ideal and anti-ideal solution. This method can reveal the efficient frontier of the problem. Applicability of the proposed method is shown in an illustrative example and its application is summarized in an investment problem. Both examples show applicabihty of the proposed method. [ABSTRACT FROM AUTHOR]

Published
2014
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