A generalized triangular intuitionistic fuzzy geometric averaging operator for decision-making in engineering and management

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 pap...

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Main Authors: Aikhuele, Daniel O., Odofin, S. M.
Format: Article
Language:English
Published: MDPI AG 2017
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/29767/
http://umpir.ump.edu.my/id/eprint/29767/1/A%20generalized%20triangular%20intuitionistic%20fuzzy%20geometric%20averaging%20operator.pdf
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author Aikhuele, Daniel O.
Odofin, S. M.
author_facet Aikhuele, Daniel O.
Odofin, S. M.
author_sort Aikhuele, Daniel O.
building UMP Institutional Repository
collection Online Access
description 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.
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spelling ump-297672022-11-10T01:44:06Z http://umpir.ump.edu.my/id/eprint/29767/ A generalized triangular intuitionistic fuzzy geometric averaging operator for decision-making in engineering and management Aikhuele, Daniel O. Odofin, S. M. TA Engineering (General). Civil engineering (General) TS Manufactures 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. MDPI AG 2017-08-14 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/29767/1/A%20generalized%20triangular%20intuitionistic%20fuzzy%20geometric%20averaging%20operator.pdf Aikhuele, Daniel O. and Odofin, S. M. (2017) A generalized triangular intuitionistic fuzzy geometric averaging operator for decision-making in engineering and management. Information (Switzerland), 8 (3). ISSN 2078-2489. (Published) https://doi.org/10.3390/info8030078 https://doi.org/10.3390/info8030078
spellingShingle TA Engineering (General). Civil engineering (General)
TS Manufactures
Aikhuele, Daniel O.
Odofin, S. M.
A generalized triangular intuitionistic fuzzy geometric averaging operator for decision-making in engineering and management
title A generalized triangular intuitionistic fuzzy geometric averaging operator for decision-making in engineering and management
title_full A generalized triangular intuitionistic fuzzy geometric averaging operator for decision-making in engineering and management
title_fullStr A generalized triangular intuitionistic fuzzy geometric averaging operator for decision-making in engineering and management
title_full_unstemmed A generalized triangular intuitionistic fuzzy geometric averaging operator for decision-making in engineering and management
title_short A generalized triangular intuitionistic fuzzy geometric averaging operator for decision-making in engineering and management
title_sort generalized triangular intuitionistic fuzzy geometric averaging operator for decision-making in engineering and management
topic TA Engineering (General). Civil engineering (General)
TS Manufactures
url http://umpir.ump.edu.my/id/eprint/29767/
http://umpir.ump.edu.my/id/eprint/29767/
http://umpir.ump.edu.my/id/eprint/29767/
http://umpir.ump.edu.my/id/eprint/29767/1/A%20generalized%20triangular%20intuitionistic%20fuzzy%20geometric%20averaging%20operator.pdf