ON ADDITIVE CONSISTENT PROPERTIES OF THE INTUITIONISTIC FUZZY PREFERENCE RELATION

Zaiwu Gong (), Lianshui Li, Jie Cao and Feixue Zhou
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Zaiwu Gong: College of Economics and Management, Nanjing University of Information Science and Technology, Nanjing 210044, China
Lianshui Li: College of Economics and Management, Nanjing University of Information Science and Technology, Nanjing 210044, China
Jie Cao: College of Economics and Management, Nanjing University of Information Science and Technology, Nanjing 210044, China
Feixue Zhou: College of Economics and Management, Nanjing University of Information Science and Technology, Nanjing 210044, China

International Journal of Information Technology & Decision Making (IJITDM), 2010, vol. 09, issue 06, 1009-1025

Abstract: We investigate the properties of additive consistent intuitionistic fuzzy preference relations (IFPR). Usually, consistency in fuzzy preference relations (FPR) is associated with transitivity such as general transitivity, weak transitivity, and restricted max–max transitivity. This paper extends the consistency properties of the FPR to those of the IFPR. Since weak transitivity is the minimal logical requirement and a fundamental principle of human judgment, this paper develops three determination theorems and the corresponding algorithms to judge the weak transitivity of an IFPR from different angles. Two numerical examples show that the three methods proposed are feasible and effective.

Keywords: Intuitionistic fuzzy sets; preference relation; additive transitivity; weak transitivity (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0219622010004160

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