Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making
We investigate the multiple attribute decision making problems in which attribute values take the form of triangular fuzzy linguistic information. Firstly, the definition and some operational laws of triangular fuzzy linguistic are introduced. Then, we have developed three fuzzy linguistic Choquet...
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Vilnius Gediminas Technical University
2014-11-01
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doaj-8aab3eafed9147c682d0bc5a4bf9f98c2021-07-02T12:34:53ZengVilnius Gediminas Technical UniversityJournal of Business Economics and Management1611-16992029-44332014-11-0115510.3846/16111699.2013.773940Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision makingRui Lin0Guiwu Wei1Hongjun Wang2Xiaofei Zhao3School of Economics and Management, Chongqing University of Arts and Sciences, Chongqing 402160, P.R.ChinaSchool of Economics and Management, Chongqing University of Arts and Sciences, Chongqing 402160, P.R.ChinaSchool of Economics and Management, Chongqing University of Arts and Sciences, Chongqing 402160, P.R.ChinaSchool of Economics and Management, Chongqing University of Arts and Sciences, Chongqing 402160, P.R.China We investigate the multiple attribute decision making problems in which attribute values take the form of triangular fuzzy linguistic information. Firstly, the definition and some operational laws of triangular fuzzy linguistic are introduced. Then, we have developed three fuzzy linguistic Choquet integral aggregation operators: fuzzy linguistic choquet ordered averaging operator, fuzzy linguistic choquet ordered geometric operator and fuzzy linguistic choquet ordered harmonic mean operator. The prominent characteristic of the operators is that they cannot only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered positions. We have studied some desirable properties of these operators, such as commutativity, idempotency and monotonicity, and applied these operators to multiple attribute decision making with triangular fuzzy linguistic information. Finally an illustrative example has been given to show the developed method. https://journals.vgtu.lt/index.php/JBEM/article/view/3047multiple attribute decision making (MADM)operational lawstriangular fuzzy linguistic variablesfuzzy linguistic choquet ordered averaging (FLCOA) operatorfuzzy linguistic choquet ordered geometric (FLCOG) operatorfuzzy linguistic choquet ordered harmonic mean (FLCOHM) operator |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Rui Lin Guiwu Wei Hongjun Wang Xiaofei Zhao |
spellingShingle |
Rui Lin Guiwu Wei Hongjun Wang Xiaofei Zhao Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making Journal of Business Economics and Management multiple attribute decision making (MADM) operational laws triangular fuzzy linguistic variables fuzzy linguistic choquet ordered averaging (FLCOA) operator fuzzy linguistic choquet ordered geometric (FLCOG) operator fuzzy linguistic choquet ordered harmonic mean (FLCOHM) operator |
author_facet |
Rui Lin Guiwu Wei Hongjun Wang Xiaofei Zhao |
author_sort |
Rui Lin |
title |
Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making |
title_short |
Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making |
title_full |
Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making |
title_fullStr |
Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making |
title_full_unstemmed |
Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making |
title_sort |
choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making |
publisher |
Vilnius Gediminas Technical University |
series |
Journal of Business Economics and Management |
issn |
1611-1699 2029-4433 |
publishDate |
2014-11-01 |
description |
We investigate the multiple attribute decision making problems in which attribute values take the form of triangular fuzzy linguistic information. Firstly, the definition and some operational laws of triangular fuzzy linguistic are introduced. Then, we have developed three fuzzy linguistic Choquet integral aggregation operators: fuzzy linguistic choquet ordered averaging operator, fuzzy linguistic choquet ordered geometric operator and fuzzy linguistic choquet ordered harmonic mean operator. The prominent characteristic of the operators is that they cannot only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered positions. We have studied some desirable properties of these operators, such as commutativity, idempotency and monotonicity, and applied these operators to multiple attribute decision making with triangular fuzzy linguistic information. Finally an illustrative example has been given to show the developed method.
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topic |
multiple attribute decision making (MADM) operational laws triangular fuzzy linguistic variables fuzzy linguistic choquet ordered averaging (FLCOA) operator fuzzy linguistic choquet ordered geometric (FLCOG) operator fuzzy linguistic choquet ordered harmonic mean (FLCOHM) operator |
url |
https://journals.vgtu.lt/index.php/JBEM/article/view/3047 |
work_keys_str_mv |
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1721330049592852480 |