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3.Fuzzy optimization by Lai and Hwang

3.1 Introduction

3.1.1 Basics

General basis is the optimization model LH1:

z(x) =    c_j x_j     —>   Max

in compliance with the subconditions

 a_ij x_j  b_i i = 1,...,m

x_j   0, j = 1,…,n.

First you lay down the affilation functions as follows:

µi (x) :=		1		for     aijxj < bi
		aijxj–bi 1 –    i		for   bi    aijxj   bi + i
		0		for     aijxj  >  bi + i

List of Contents     Rommelfanger     Kacprzyk, Orlovski     3.2     Notations + Definitions

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