Characterization of the Equilibrium Strategy of Fuzzy Bimatrix Games Based on L-R Fuzzy Variables

المؤلف

Li, Cun-lin

المصدر

Journal of Applied Mathematics

العدد

المجلد 2012، العدد 2012 (31 ديسمبر/كانون الأول 2012)، ص ص. 1-15، 15ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2012-06-13

دولة النشر

مصر

عدد الصفحات

15

التخصصات الرئيسية

الرياضيات

الملخص EN

This paper deals with bimatrix games in uncertainty environment based on several types of ordering, which Maeda proposed.

But Maeda’s models was just made based on symmetrical triangle fuzzy variable.

In this paper, we generalized Maeda’s model to the non-symmetrical environment.

In other words, we investigated the fuzzy bimatrix games based on nonsymmetrical L-R fuzzy variables.

Then the pseudoinverse of a nonconstant monotone function was given and the concept of crisp parametric bimatrix games was introduced.

At last, the existence condition of Nash equilibrium strategies of the fuzzy bimatrix games is proposed and (weak) Pareto equilibrium of the fuzzy bimatrix games was obtained through the Nash equilibrium of the crisp parametric bimatrix.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Li, Cun-lin. 2012. Characterization of the Equilibrium Strategy of Fuzzy Bimatrix Games Based on L-R Fuzzy Variables. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993735

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Li, Cun-lin. Characterization of the Equilibrium Strategy of Fuzzy Bimatrix Games Based on L-R Fuzzy Variables. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-993735

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Li, Cun-lin. Characterization of the Equilibrium Strategy of Fuzzy Bimatrix Games Based on L-R Fuzzy Variables. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993735

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-993735