International Journal of Computational Intelligence Systems

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Volume 3, Issue 1, April 2010, Pages 84 - 95

Some Induced Aggregating Operators with Fuzzy Number Intuitionistic Fuzzy Information and their Applications to Group Decision Making

Authors
Guiwi Wei, Xiaofei Zhao, Rui Lin
Corresponding Author
Guiwi Wei
Received 22 December 2008, Accepted 27 November 2009, Available Online 1 April 2010.
DOI
10.2991/ijcis.2010.3.1.8How to use a DOI?
Keywords
Fuzzy number intuitionistic fuzzy numbers; operational laws; fuzzy number intuitionistic fuzzy weighted geometric (FIFWG) operator; induced fuzzy number; intuitionistic fuzzy ordered weighted geometric (IFIFOWG) operator
Abstract

With respect to 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 fuzzy number intuitionistic fuzzy numbers, a new group decision making analysis method is developed. Firstly, some operational laws of fuzzy number intuitionistic fuzzy numbers, score function and accuracy function of fuzzy number intuitionistic fuzzy numbers are introduced. Then a new aggregation operator called induced fuzzy number intuitionistic fuzzy ordered weighted geometric (I-FIFOWG) operator is proposed, and some desirable properties of the I-FIFOWG operators are studied, such as commutativity, idempotency and monotonicity. An I-FIFOWG and FIFWG (fuzzy number intuitionistic fuzzy weighted geometric) operators-based approach is developed to solve the MAGDM under the fuzzy number intuitionistic fuzzy environment. Furthermore, we propose the induced fuzzy number intuitionistic fuzzy ordered weighted averaging (I-FIFOWA) operator. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness. Finally, an illustrative example is given to verify the developed approach.

Copyright
© 2010, 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
3 - 1
Pages
84 - 95
Publication Date
2010/04/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.2010.3.1.8How to use a DOI?
Copyright
© 2010, 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  - Guiwi Wei
AU  - Xiaofei Zhao
AU  - Rui Lin
PY  - 2010
DA  - 2010/04/01
TI  - Some Induced Aggregating Operators with Fuzzy Number Intuitionistic Fuzzy Information and their Applications to Group Decision Making
JO  - International Journal of Computational Intelligence Systems
SP  - 84
EP  - 95
VL  - 3
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2010.3.1.8
DO  - 10.2991/ijcis.2010.3.1.8
ID  - Wei2010
ER  -