An approach to multiple attribute group decision making with interval intuitionistic trapezoidal fuzzy information
In this paper, we investigate the multiple attribute group decision making (MAGDM) problems in which both the attribute weights and the expert weights take the form of real numbers, attribute values take the form of interval intuitionistic trapezoidal fuzzy numbers. Firstly, some operational laws o...
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Vilnius Gediminas Technical University
2012-06-01
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doaj-30c40fa9f6104a0182c12ab67257a9512021-07-02T09:11:47ZengVilnius Gediminas Technical UniversityTechnological and Economic Development of Economy2029-49132029-49212012-06-0118210.3846/20294913.2012.676995An approach to multiple attribute group decision making with interval intuitionistic trapezoidal fuzzy informationGuiwu Wei0Xiaofei Zhao1Hongjun Wang2Institute of Decision Sciences, Chongqing University of Arts and Sciences, Chongqing 402160, P. R. ChinaInstitute of Decision Sciences, Chongqing University of Arts and Sciences, Chongqing 402160, P. R. ChinaInstitute of Decision Sciences, Chongqing University of Arts and Sciences, Chongqing 402160, P. R. China In this paper, we investigate the multiple attribute group decision making (MAGDM) problems in which both the attribute weights and the expert weights take the form of real numbers, attribute values take the form of interval intuitionistic trapezoidal fuzzy numbers. Firstly, some operational laws of interval intuitionistic trapezoidal fuzzy numbers are introduced. Then some new aggregation operators including interval intuitionistic trapezoidal fuzzy ordered weighted geometric (IITFOWG) operator and interval intuitionistic trapezoidal fuzzy hybrid geometric (IITFHG) operator are proposed and some desirable properties of these operators are studied, such as commutativity, idempotency and monotonicity. An IITFWG and IITFHG operators-based approach is developed to solve the MAGDM problems in which both the attribute weights and the expert weights take the form of real numbers and attribute values take the form of interval intuitionistic trapezoidal fuzzy numbers. Finally, some illustrative examples are given to verify the developed approach and to demonstrate its practicality and effectiveness. http://www.bjrbe.vgtu.lt/index.php/TEDE/article/view/4695multiple attribute group decision making (MAGDM)interval intuitionistic trapezoidal fuzzy numbersinterval intuitionistic trapezoidal fuzzy weighted geometric (IITFWG) operatorinterval intuitionistic trapezoidal fuzzy ordered weighted geometric (IITFOWG) operatorinterval intuitionistic trapezoidal fuzzy hybrid geometric (IITFHG) operator |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Guiwu Wei Xiaofei Zhao Hongjun Wang |
spellingShingle |
Guiwu Wei Xiaofei Zhao Hongjun Wang An approach to multiple attribute group decision making with interval intuitionistic trapezoidal fuzzy information Technological and Economic Development of Economy multiple attribute group decision making (MAGDM) interval intuitionistic trapezoidal fuzzy numbers interval intuitionistic trapezoidal fuzzy weighted geometric (IITFWG) operator interval intuitionistic trapezoidal fuzzy ordered weighted geometric (IITFOWG) operator interval intuitionistic trapezoidal fuzzy hybrid geometric (IITFHG) operator |
author_facet |
Guiwu Wei Xiaofei Zhao Hongjun Wang |
author_sort |
Guiwu Wei |
title |
An approach to multiple attribute group decision making with interval intuitionistic trapezoidal fuzzy information |
title_short |
An approach to multiple attribute group decision making with interval intuitionistic trapezoidal fuzzy information |
title_full |
An approach to multiple attribute group decision making with interval intuitionistic trapezoidal fuzzy information |
title_fullStr |
An approach to multiple attribute group decision making with interval intuitionistic trapezoidal fuzzy information |
title_full_unstemmed |
An approach to multiple attribute group decision making with interval intuitionistic trapezoidal fuzzy information |
title_sort |
approach to multiple attribute group decision making with interval intuitionistic trapezoidal fuzzy information |
publisher |
Vilnius Gediminas Technical University |
series |
Technological and Economic Development of Economy |
issn |
2029-4913 2029-4921 |
publishDate |
2012-06-01 |
description |
In this paper, we investigate the multiple attribute group decision making (MAGDM) problems in which both the attribute weights and the expert weights take the form of real numbers, attribute values take the form of interval intuitionistic trapezoidal fuzzy numbers. Firstly, some operational laws of interval intuitionistic trapezoidal fuzzy numbers are introduced. Then some new aggregation operators including interval intuitionistic trapezoidal fuzzy ordered weighted geometric (IITFOWG) operator and interval intuitionistic trapezoidal fuzzy hybrid geometric (IITFHG) operator are proposed and some desirable properties of these operators are studied, such as commutativity, idempotency and monotonicity. An IITFWG and IITFHG operators-based approach is developed to solve the MAGDM problems in which both the attribute weights and the expert weights take the form of real numbers and attribute values take the form of interval intuitionistic trapezoidal fuzzy numbers. Finally, some illustrative examples are given to verify the developed approach and to demonstrate its practicality and effectiveness.
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topic |
multiple attribute group decision making (MAGDM) interval intuitionistic trapezoidal fuzzy numbers interval intuitionistic trapezoidal fuzzy weighted geometric (IITFWG) operator interval intuitionistic trapezoidal fuzzy ordered weighted geometric (IITFOWG) operator interval intuitionistic trapezoidal fuzzy hybrid geometric (IITFHG) operator |
url |
http://www.bjrbe.vgtu.lt/index.php/TEDE/article/view/4695 |
work_keys_str_mv |
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