Abstract
Triangular intuitionistic fuzzy number (TIFN) is a more generalized platform for expressing imprecise, incomplete, and inconsistent information when solving multi-criteria decision-making problems, as well as for expressing and reflecting the evaluation information in several dimensions. In this paper, the TIFN has been applied for solving multi-criteria decision-making (MCDM) problems, first, by defining some existing triangular intuitionistic fuzzy geometric aggregation operators, and then developing a new triangular intuitionistic fuzzy geometric aggregation operator, which is the generalized triangular intuitionistic fuzzy ordered weighted geometric averaging (GTIFOWGA) operator. Based on these operators, a new approach for solving multicriteria decision-making problems when the weight information is fixed is proposed. Finally, a numerical example is provided to show the applicability and rationality of the presented method, followed by a comparative analysis using similar existing computational approaches.
Highlights
In solving multi-criteria decision-making (MCDM) problems, it is often required that several criteria are considered simultaneously before selecting or ranking alternatives
This is mainly to allow for more attitudinal information to be expressed or used in accordance with the different DMs interests or preference; Propose a simple and straightforward approach for solving MCDM problems when the performance ratings are expressed in triangular intuitionistic fuzzy numbers (TIFNs)
In collecting the DMs preference information for the alternatives with respect to the given criteria, a linguistic scale has been introduced which comprises of some linguistic variables which can be presented to the DMs and the TIFNs which are used for the evaluation proper
Summary
In solving multi-criteria decision-making (MCDM) problems, it is often required that several criteria are considered simultaneously before selecting or ranking alternatives. Since the information required for solving the MCDM problems is often incomplete, inconsistent, and indeterminate, the manner in which it is expressed, has remained a major task and of great interest among researchers over the past several years In handling these issues, Zadeh [1], who introduced the concept of fuzzy set theory, has outlined how the fuzzy set (FS) concept could be used for expressing such decision-making problems. This is mainly to allow for more attitudinal information to be expressed or used in accordance with the different DMs interests or preference; Propose a simple and straightforward approach for solving MCDM problems when the performance ratings are expressed in triangular intuitionistic fuzzy numbers (TIFNs).
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