A Fuzzy Set-Based Approach to Multi-objective Multi-item Solid Transportation Problem Under Uncertainty

Dalman, Hasan; Güzel, Nuran; Sivri, Mustafa

doi:10.1007/s40815-015-0081-9

Cited by 61 publications

(27 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In future, the procedure can be extended for the multiobjective nonlinear time minimization problems. It can also be studied for other types of uncertain programming problems like [44], [45] where both the membership as well as nonmembership functions are taken into consideration.…”

Section: Discussionmentioning

confidence: 99%

Interactive Fuzzy Goal Programming Based on Taylor Series to Solve Multiobjective Nonlinear Programming Problems With Interval Type-2 Fuzzy Numbers

Dalman

Bayram

2018

IEEE Trans. Fuzzy Syst.

Self Cite

View full text Add to dashboard Cite

This paper presents an interactive fuzzy goal programming (FGP) approach for solving multiobjective nonlinear programming problems (MONLPP) with interval type 2 fuzzy numbers (IT2 FNs). The cost and time of the objective functions, the resources, and the requirements of each kind of resources are taken to be trapezoidal IT2 FNs. Here, the considered problem is first transformed into an equivalent crisp MONLPP, and then the transformed MONLPP is converted into an equivalent Multiobjective Linear Programming Problem (MOLPP). By using a procedure based on Taylor series, this problem is reduced into a single objective linear programming problem (LPP) which can be easily solved by Maple 18.02 optimization toolbox. Finally, the proposed solution procedure is illustrated by two numerical examples.

show abstract

Section: Discussionmentioning

confidence: 99%

Interactive Fuzzy Goal Programming Based on Taylor Series to Solve Multiobjective Nonlinear Programming Problems With Interval Type-2 Fuzzy Numbers

Dalman

Bayram

2018

IEEE Trans. Fuzzy Syst.

Self Cite

View full text Add to dashboard Cite

show abstract

“…To illustrate these types of impreciseness, the multi-item STPs are extensively studied under the fuzzy, stochastic and interval parameters [3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Uncertain random programming models for fixed charge multi-item solid transportation problem

Dalman¹

2018

ntmsci

Self Cite

View full text Add to dashboard Cite

This paper presents uncertain random programming models for the fixed charge multiobjective multi-item solid transportation problem, which contains uncertain random variables for fixed charges, unit transportation costs, source, destination and conveyance constraints. Utilizing both uncertainty and randomness, the uncertain random programming model is first turned into an expected value programming model under chance constraints. Thus a deterministic model of the uncertain random model is obtained. Finally, numerical examples are given to illustrate the models.

show abstract

“…Zadeh first introduce the concept of fuzzy set. Since then fuzzy set has received great attention and got lots of applications in various fields [2][3][4][5]. Many extensions of Zadeh's fuzzy set, such as vague set, intuitionistic fuzzy, hesitant fuzzy set, etc., have been proposed and been utilized management decision and engineering science problems [6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Hermite-Hadamard Type Fuzzy Inequalities based on s-Convex Function in the Second Sense

Li¹

2017

View full text Add to dashboard Cite

Integral inequalities have important applications in propability and engineering field. Sugeno integral is an important fuzzy integral in fuzzy theory, which has many applications in various fields. The object of this paper is to develop some new integral inequalities for Sugeno integral. Based on classical Hermite-Hadamard type inequality, this paper intends to extend it for the Sugeno integral. Some new Hermite-Hadamard type inequalities are derived for Sugeno integral based on sconvex function in the second sense. An example is used to illustrate the effectiveness of the new inequalities.

show abstract

A Fuzzy Set-Based Approach to Multi-objective Multi-item Solid Transportation Problem Under Uncertainty

Cited by 61 publications

References 38 publications

Interactive Fuzzy Goal Programming Based on Taylor Series to Solve Multiobjective Nonlinear Programming Problems With Interval Type-2 Fuzzy Numbers

Interactive Fuzzy Goal Programming Based on Taylor Series to Solve Multiobjective Nonlinear Programming Problems With Interval Type-2 Fuzzy Numbers

Uncertain random programming models for fixed charge multi-item solid transportation problem

Hermite-Hadamard Type Fuzzy Inequalities based on s-Convex Function in the Second Sense

Contact Info

Product

Resources

About