Interactive Computer Programs for Fuzzy Linear Programming with Multiple Objectives

Article Abstract:

An interactive method of solving fuzzy linear programming problems with multiple objectives is presented. It combines the bisection method and the linear programming method to deal with fuzzy goals in multiobjective linear programming problems. Five types of membership functions can be specified interactively to quantify goals. The formulated problem can be reduced to a set of linear inequalities by fixing some variable. An illustrative FORTRAN program is included.

Linear programming, Nonlinear programming, Interactive Systems, FORTRAN, FORTRAN (Programming language)

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Potential Applications of Fuzzy Sets in Civil Engineering

Article Abstract:

Fuzzy set theory is often used when uncertainty and subjective judgement is a part of the decision-making process. Civil engineering problems typically involve inexact information where fuzzy sets might prove useful. Potential application of fuzzy sets in geotechnical, structural, transportation and highway engineering problems is discussed. Fuzzy set theory might also be an aid in transferring experience factors to student engineers.

Architecture, Civil engineering, Structural analysis software, Applications, Highways

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Fuzzy Decision Making with Multiple Objectives and Discrete Membership Functions

Article Abstract:

Fuzzy sets are used to make valuations on objectives where different alternatives are available. Multiple objectives with alternatives create a decision making problem. A model adapted from a Baldwin and Guild model uses discrete membership functions and encompasses multiple objectives. The model is intuitively appealing and consistent with standard non-fuzzy approaches as the preferences become less vague.

Decision theory, Logic circuits, Sets, Decision Models, Decision Making, Logic Circuitry

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