Binary Behavior of Fuzzy Programming With Piecewise Linear Membership Functions

The nature of vagueness, imprecision and uncertainly is fuzzy rather than crisp and/or random, especially for a multiple objectives decision-making problem. A key component of fuzzy programming is the membership function that represents a mathematical expression of level function for the decision-ma...

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Vydané v:IEEE transactions on fuzzy systems Ročník 15; číslo 3; s. 342 - 349
Hlavný autor: Chang, Ching-Ter
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York IEEE 01.06.2007
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Predmet:
Crisps
Decision making
Delta modulation
Functional programming
Fuzzy
Fuzzy logic
Fuzzy programming
Fuzzy set theory
Linear programming
Mathematical analysis
Mathematical models
Mathematical programming
Natural languages
nonlinear membership function
Packaging
Piecewise linear techniques
Programming
Programming profession
Studies
Testing
ISSN:1063-6706, 1941-0034
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Popis
Shrnutí:The nature of vagueness, imprecision and uncertainly is fuzzy rather than crisp and/or random, especially for a multiple objectives decision-making problem. A key component of fuzzy programming is the membership function that represents a mathematical expression of level function for the decision-maker's preference. In fact, a decision-making problem involves the achievement of fuzzy goals, some of which are met while others are not because these fuzzy goals are subject to real-world constraints. To represent this situation, the binary piecewise linear membership function is then employed. In order to solve the problem, we propose a new idea of how to formulate the binary piecewise linear membership function. The formulated problem can be easily solved using common integer programming packages. In addition, an illustrative example is included for demonstrating the usefulness of the proposed model. Finally, the analytical superiority of the proposed method in terms of the execution time can be seen, through a computation experiment conduced on a set of generated test examples.
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ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2006.886606