Bounded Rational Reciprocal Preference Relation for Decision Making

Lisheng Jiang

doi:10.15388/22-INFOR495

2022-09-06

PRE

Lisheng Jiang

Huchang Liao *

DOI：10.15388/22-INFOR495

原文链接

原文求助

摘要

En 中文

Fuzzy relations have been widely applied in decision making process. However, the ap-plication process requires people to have a high level of ability to compute and infer information. As people usually have limited ability of computing and inferring, the fuzzy relation needs to be adapted to fit the abilities of people. The bounded rationality theory holding the view that people have limited rationality in terms of computing and inferring meets such a requirement, so we try to combine the fuzzy relation with the bounded rationality theory in this study. To do this, first of all, we investigate four properties of fuzzy relations (i.e. reflexivity, symmetry, transitivity and reci-procity) within the bounded rationality context and find that these properties are not compatible with the bounded rationality theory. Afterwards, we study a new property called the bounded ratio-nal reciprocity of fuzzy relations, to make it possible to combine a fuzzy relation with the bounded rationality theory. Based on the bounded rational reciprocity, the bounded rational reciprocal pref-erence relation is then introduced. A rationality visualization technique is proposed to intuitively display the rationality of experts. Finally, a bounded rationality net-flow-based ranking method is presented to solve real decision-making problems with bounded rational reciprocal preference re-lations, and a numerical example with comparative analysis is given to demonstrate the advantages of the proposed methods.

Keyword:

fuzzy relations

bounded rationality

bounded rational reciprocal preference relation

decision making

rationality visualization technique