Fuzzy Random Noncooperative Two-level Linear Programming through Absolute Deviation Minimization Using Possibility and Necessity

Fuzzy Random Noncooperative Two-level Linear Programming through Absolute Deviation Minimization Using Possibility and Necessity

Authors:   Sakawa M, Kato K

Publication Year:   2009

Reference:  IIASA Interim Report IR-09-021

Abstract

This paper considers fuzzy random two-level linear programming problems under noncooperative behaviorof the decision makers. Having introduced fuzzy goals of decision makers together with the possibiliy and necessity measure, following absolute deviation minimization, fuzzy random two-level programin problems are transformed into deterministic ones. Extended Stackelberg solutions are introduced andcomputational methods are also presented.
KEYWORDS: Two-level linear programming problem; Fuzzy randm variables; Stackelberg solutions; Possibility; Necessity; Absolute deviation minimization

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