A Fuzzy Logic Based Approach to Solve Interval Multiobjective Nonlinear Transportation Problem

This paper presents the solution procedure of multiobjective nonlinear transportation problem (MNOTP) where the cost coefficients of the objective functions, and the supply and the unknown demand parameters have been formulated as interval numbers by the decision maker. This problem has been convert...

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Vydané v:Proceedings of the National Academy of Sciences, India, Section A, physical sciences Ročník 89; číslo 2; s. 279 - 289
Hlavní autori: Dalman, Hasan, Sivri, Mustafa
Médium: Journal Article Konferenčný príspevok..
Jazyk:English
Vydavateľské údaje: New Delhi Springer India 01.06.2019
Springer Nature B.V
Predmet:
Applied and Technical Physics
Atomic
Decision making
Economic models
Fuzzy logic
Goal programming
Interval arithmetic
Molecular
Multiple objective analysis
Numerical methods
Optical and Plasma Physics
Parameters
Physics
Physics and Astronomy
Pricing policies
Quantum Physics
Research Article
Supply chains
Transportation problem
Fuzzy programming
Transportation problem
Nonlinear programming
Interval numbers
Multiobjective programming
ISSN:0369-8203, 2250-1762
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Abstract This paper presents the solution procedure of multiobjective nonlinear transportation problem (MNOTP) where the cost coefficients of the objective functions, and the supply and the unknown demand parameters have been formulated as interval numbers by the decision maker. This problem has been converted into a conventional MNOTP where to minimize the interval nonlinear objective functions, the order relations that define the choice between intervals have been determined by the interval arithmetic. Also, the constraints with interval supply and unknown demand parameters have been transformed into its deterministic forms. Then the deterministic problems have been solved by two compromise programming methods. Finally, a numerical example is presented to illustrate the efficiency of the proposed procedure as well.
AbstractList This paper presents the solution procedure of multiobjective nonlinear transportation problem (MNOTP) where the cost coefficients of the objective functions, and the supply and the unknown demand parameters have been formulated as interval numbers by the decision maker. This problem has been converted into a conventional MNOTP where to minimize the interval nonlinear objective functions, the order relations that define the choice between intervals have been determined by the interval arithmetic. Also, the constraints with interval supply and unknown demand parameters have been transformed into its deterministic forms. Then the deterministic problems have been solved by two compromise programming methods. Finally, a numerical example is presented to illustrate the efficiency of the proposed procedure as well.
Author Sivri, Mustafa
Dalman, Hasan
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  givenname: Mustafa
  surname: Sivri
  fullname: Sivri, Mustafa
  organization: Department of Mathematical Engineering, Yildiz Technical University
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crossref_primary_10_1007_s13198_024_02527_0
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Keywords Fuzzy programming
Transportation problem
Nonlinear programming
Interval numbers
Multiobjective programming
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Snippet This paper presents the solution procedure of multiobjective nonlinear transportation problem (MNOTP) where the cost coefficients of the objective functions,...
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SubjectTerms Applied and Technical Physics
Atomic
Decision making
Economic models
Fuzzy logic
Goal programming
Interval arithmetic
Molecular
Multiple objective analysis
Numerical methods
Optical and Plasma Physics
Parameters
Physics
Physics and Astronomy
Pricing policies
Quantum Physics
Research Article
Supply chains
Transportation problem
Title A Fuzzy Logic Based Approach to Solve Interval Multiobjective Nonlinear Transportation Problem
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