International Journal of Computational Intelligence Systems

Volume 14, Issue 1, 2021, Pages 132 - 139

α-consensus Value of Cooperative Game with Intuitionistic Fuzzy Payment

Authors
Jiang-Xia Nan1, Jing Guan2, Mao-Jun Zhang1, *
1School of Business, Suzhou University of Science and Technology, Suzhou, Jiangsu, 215009, China
2School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China
*Corresponding author. Email: jiangxia1107@163.com
Corresponding Author
Mao-Jun Zhang
Received 20 February 2020, Accepted 28 October 2020, Available Online 17 November 2020.
DOI
10.2991/ijcis.d.201107.001How to use a DOI?
Keywords
cooperative game; triangular intuitionistic fuzzy number; α-consensus value
Abstract

This paper studies the α-consensus value of a cooperative game with payoffs of triangular intuitionistic fuzzy numbers and gives the formation mechanism of the α-consensus value, as well as some properties. Using the extended Hukuhara difference of triangular intuitionistic fuzzy numbers, the α-consensus value of the triangular intuitionistic fuzzy cooperative game is obtained. Furthermore, we study the condition of the α-consensus value satisfying the individual rationality, which makes the α-consensus value of the cooperative game more practical in real problems. Finally, a numerical example is given to illustrate the validity and applicability of the α-consensus value of the triangular intuitionistic fuzzy cooperative game proposed in this paper.

Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
14 - 1
Pages
132 - 139
Publication Date
2020/11/17
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.201107.001How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Jiang-Xia Nan
AU  - Jing Guan
AU  - Mao-Jun Zhang
PY  - 2020
DA  - 2020/11/17
TI  - α-consensus Value of Cooperative Game with Intuitionistic Fuzzy Payment
JO  - International Journal of Computational Intelligence Systems
SP  - 132
EP  - 139
VL  - 14
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.201107.001
DO  - 10.2991/ijcis.d.201107.001
ID  - Nan2020
ER  -