International Journal of Computational Intelligence Systems

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Volume 7, Issue 2, April 2014, Pages 291 - 304

An Approach to Multiple Attribute Group Decision Making Based on Intuitionistic Trapezoidal Fuzzy Power Generalized Aggregation Operator

Authors
Peide Liu, Ying Liu
Corresponding Author
Peide Liu
Received 2 May 2012, Accepted 11 November 2012, Available Online 1 April 2014.
DOI
10.1080/18756891.2013.862357How to use a DOI?
Keywords
Decision analysis, multiple criteria analysis, the intuitionistic trapezoidal fuzzy number, multiple attribute group decision making, the power generalized aggregation operator
Abstract

With respect to multiple attribute decision making (MADM) problems in which the attribute value takes the form of intuitionistic trapezoidal fuzzy number, a new decision making analysis method is developed. Firstly, some operational laws and expected values of intuitionistic trapezoidal fuzzy numbers, and distance between two intuitionistic trapezoidal fuzzy numbers, are introduced, and the comparison method for the intuitionistic trapezoidal fuzzy numbers is proposed. Then, combined the power aggregation operator and the generalized aggregation operator, a power generalized average (PGA) operator is proposed, and some properties of the PGA operator, such as idempotency, boundary, commutativity, etc., are studied. At the same time, some special cases of the generalized parameters in PGA operator are analyzed. Furthermore, an intuitionistic trapezoidal fuzzy power generalized weighted average (ITFPGWA) operator is also proposed for the intuitionistic trapezoidal fuzzy information, and some properties of the ITFPGWA operator and an approach to deal with group decision making problems under intuitionistic trapezoidal fuzzy information based on the ITFPGWA operator are given. Finally, an illustrative example is given to illustrate the decision-making steps, and to demonstrate its practicality and effectiveness.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
7 - 2
Pages
291 - 304
Publication Date
2014/04/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.1080/18756891.2013.862357How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Peide Liu
AU  - Ying Liu
PY  - 2014
DA  - 2014/04/01
TI  - An Approach to Multiple Attribute Group Decision Making Based on Intuitionistic Trapezoidal Fuzzy Power Generalized Aggregation Operator
JO  - International Journal of Computational Intelligence Systems
SP  - 291
EP  - 304
VL  - 7
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2013.862357
DO  - 10.1080/18756891.2013.862357
ID  - Liu2014
ER  -