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Journal ArticleDOI

Fuzzy programming and linear programming with several objective functions

Hans-Jürgen Zimmermann
- 01 Jan 1978 - 
- Vol. 1, Iss: 1, pp 45-55
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TLDR
It is shown that solutions obtained by fuzzy linear programming are always efficient solutions and the consequences of using different ways of combining individual objective functions in order to determine an “optimal” compromise solution are shown.
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This article is published in Fuzzy Sets and Systems.The article was published on 1978-01-01. It has received 3357 citations till now. The article focuses on the topics: Linear-fractional programming & Inductive programming.

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Citations
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Journal ArticleDOI

Solving fuzzy solid transportation problems by an evolutionary algorithm based parametric approach

TL;DR: An Evolutionary Algorithm (EA) based solution method is proposed to solve the FSTP, which can finally be applied to find a “good” fuzzy solution to the F STP.
Book ChapterDOI

Nested Intervals and Sets: Concepts, Relations to Fuzzy Sets, and Applications

TL;DR: Interval computations are one of the main techniques for solving the problem of finding the intervals of possible values of y for a quantity y = f(xi,…,xn).
Journal ArticleDOI

A novel method for solving the fully neutrosophic linear programming problems

TL;DR: This work has introduced the neutrosophic LP models where their parameters are represented with a trapezoidal neutrosphic numbers and presented a technique for solving them and concludes that proposed approach is simpler, efficient and capable of solving the LP models as compared to other methods.
Journal ArticleDOI

Bi-objective optimization approach to the design and planning of supply chains: Economic versus environmental performances

TL;DR: This paper addresses the planning and design of supply chain structures for annual profit maximization, while considering environmental aspects, using the Eco-indicator methodology.
Journal ArticleDOI

Fuzzy relational equations with generalized connectives and their applications

TL;DR: The idea of fuzzy relational equation with generalized connectives is introduced and algorithms of resolution of this class equations are presented in details, showing some types of well-known fuzzy relational equations can be treated as special cases of a wise class of equations under discussion.
References
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Book

Decision-making in a fuzzy environment

TL;DR: A reverse-flow technique is described for the solution of a functional equation arising in connection with a decision process in which the termination time is defined implicitly by the condition that the process stops when the system under control enters a specified set of states in its state space.
Book

Management Models and Industrial Applications of Linear Programming

TL;DR: In place of a survey or evaluation of industrial studies, two broad issues which are relevant to all such applications will be discussed, including the use of linear programming models as guides to data collection and analysis and prognosis of fruitful areas of additional research, especially those which appear to have been opened by industrial applications.
Journal ArticleDOI

Linear programming with multiple objective functions: Step method (stem)

TL;DR: In this man-model symbiosis, phases of computation alternate with phases of decision, which allows the decision-maker to “learn” to recognize good solutions and the relative importance of the objectives.
Journal ArticleDOI

Description and optimization of fuzzy systems

TL;DR: Fuzzy set theory is applied to fuzzy linear programming problems and it is shown how fuzzylinear programming problems can be solved without increasing the computational effort.
Journal ArticleDOI

Interactive approach for multi-criterion optimization, with an application to the operation of an academic department.

TL;DR: An interactive mathematical programming approach to multi-criterion optimization is developed, and then illustrated by an application to the aggregated operating problem of an academic department.