DESIGNING AN INTUITIONISTIC FUZZY NETWORK DATA ENVELOPMENT ANALYSIS MODEL FOR EFFICIENCY EVALUATION OF DECISION-MAKING UNITS WITH TWO-STAGE STRUCTURES

Designing an Intuitionistic Fuzzy Network Data Envelopment Analysis Model for Efficiency Evaluation of Decision-Making Units with Two-Stage Structures

Designing an Intuitionistic Fuzzy Network Data Envelopment Analysis Model for Efficiency Evaluation of Decision-Making Units with Two-Stage Structures

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Data envelopment analysis (DEA) is a powerful tool for evaluating the efficiency of decision-making units for ranking and comparison purposes and to differentiate efficient and inefficient units.Classic DEA models are ill-suited for the problems where decision-making units consist of multiple stages with intermediate products and those where inputs and outputs Superfoods are imprecise or nondeterministic, which is not uncommon in the real world.This paper presents a new DEA model for evaluating the efficiency of decision-making units with two-stage structures and triangular APRICOT intuitionistic fuzzy data.The paper first introduces two-stage DEA models, then explains how these models can be modified with intuitionistic fuzzy coefficients, and finally describes how arithmetic operators for intuitionistic fuzzy numbers can be used for a conversion into crisp two-stage structures.

In the end, the proposed method is used to solve an illustrative numerical example.

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