Fuzzy optimal flow on imprecise structures

Article Abstract:

The problem of optimal flow in a network with an imprecise structure is considered. The problem, which must be characterized via a fuzzy graph, requires the generalization of flow concepts such as cyclicity, connectedness, networks and admissible flow to enable the correct formulation of the problem on fuzzy graphs. To this end, a fuzzy transportation network (FTN) was defined, the problem was expressed in terms of the FTN and a maximal flow algorithm was developed.

Network analysis (Planning), Fuzzy systems, Graph theory

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Three models of fuzzy integer linear programming

Article Abstract:

Three models for treating fuzzy integer linear programming problems were evaluated. Specifically, several procedures based on the representation theorem and fuzzy number ranking methods were employed to obtain solutions using either fuzzy constraints, fuzzy numbers in the objective function or fuzzy numbers defining the set of constraints. Both methodologies enable the decision maker to choose among a set of alternatives in propositional reasoning.

Integer programming, Proposition (Logic)

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Linear fractional goal programming in consideration of fuzzy solution

Article Abstract:

Y. Kono and T. Yamaguchi's fuzzy theory-based method for solving multiple-goal programming problems with linear objective functions was extended to accommodate fractional goals such as ratio equations. The original procedure, which decomposed linear goals into multiple interval determining problems, was modified to handle degrees of vagueness in modeling individual coefficients. The example of an electronic parts manufacturer was also discussed.

Fuzzy algorithms, Management by objectives

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