A novel Approach for Fully Intuitionistic Fuzzy Multi-Objective Fractional Transportation Problem

Sayed, Mohamed A. El; Abo-Sinna, Mahmoud A.

doi:10.1016/j.aej.2020.10.063

Cited by 63 publications

(19 citation statements)

References 34 publications

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“…Transportation issues (TP) have been studied in various writings [1][2][3][4][5][6][7]. These issues and their solution processes postulate a worthy task in logistics and supply chain organization for reducing expenses, further developing service quality, etc.…”

Section: Introductionmentioning

confidence: 99%

“…Accordingly, in MO-TP, the idea of an ideal solution offers spot to the idea of the best compromise solution or the non-dominated solutions. Optimization of the ratio of two functions is called fractional programming (ratio optimization) [7,9]. To be sure, in such circumstances, it is often a question of optimizing a ratio of benefit/cost, stock/deals, specialist/patient, and so on, subject to some constraints [7,9].…”

Section: Introductionmentioning

confidence: 99%

“…Optimization of the ratio of two functions is called fractional programming (ratio optimization) [7,9]. To be sure, in such circumstances, it is often a question of optimizing a ratio of benefit/cost, stock/deals, specialist/patient, and so on, subject to some constraints [7,9].…”

Section: Introductionmentioning

confidence: 99%

“…One of the significant issues looked at by specialists is that involving the exact values of parameters [7]. In this way, this might involve thinking about vagueness, or specifying the fundamental parameters of the model, which are the coefficients of the objective function and the constrains [4,8].…”

Section: Introductionmentioning

confidence: 99%

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Stability of Parametric Intuitionistic Fuzzy Multi-Objective Fractional Transportation Problem

et al. 2021

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In this study, a parametric intuitionistic fuzzy multi-objective fractional transportation problem (PIF-MOFTP) is proposed. The current PIF-MOFTP has a single-scalar parameter in the objective functions and an intuitionistic fuzzy supply and demand. Based on the (α,β)-cut concept a parametric (α,β)-MOFTP is established. Then, a fuzzy goal programming (FGP) approach is utilized to obtain (α,β)-Pareto optimal solution. We investigated the stability set of the first kind (SSFK) corresponding to the solution by extending the Kuhn-Tucker optimality conditions of multi-objective programming problems. An algorithm to crystalize the progressing SSFK for PIF-MOFTP as well as an illustrative numerical example is presented.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stability of Parametric Intuitionistic Fuzzy Multi-Objective Fractional Transportation Problem

et al. 2021

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“…The fuzzy optimization technique [45][46][47][48] is applied to obtain the compromising answer for the multi-objective aspirational level fractional transportation problem. During this procedure, if the conclusion producer is not convinced from the obtained values for the optimization of the objective function, then we change the lower bound by the new value of the aspired objective and solve the problem the same as above until the decision-maker is not convinced; • A compromised optimal solution for MOFTP takes less time with fewer steps.…”

mentioning

confidence: 99%

A Fuzzy Optimization Technique for Multi-Objective Aspirational Level Fractional Transportation Problem

et al. 2021

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In this research work, a soft computing optimization operating approach is developed for a multi-objective aspirational level fractional transportation problem. In the proposed technique, a mathematical model is formulated for the multi-objective aspirational level fractional transportation problem (MOFTP) based on the highest value of one and all objectives of the model. We also used the symmetry concept over our model to identify the best optimum solution based on symmetrical data. We constructed the membership grades for the set of fetched parameters having symmetry. In this work, we also used the concept of ranking function in our mathematical model to obtain the optimum solution of the fuzzy multi-objective fractional transportation. In this proposed algorithm, the aspiration levels are also associated with the objective function of MOFTP. We are also proposing a new approach for the optimization of fractional problems in which the objectives are being optimized by using the numerator function and denominator function simultaneously. Further, a methodology is also developed to find the average cost for each fractional objective of the model. After that, we will find the ranking function for each parameter by using the defuzzification method. By this methodology, we will be able to convert the MOFTP into a bi-objective transportation problem. The provided technique is elaborated with the help of numerical computations to prove the beauty and power of the proposed technique.

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A Novel Fully Interval-Valued Intuitionistic Fuzzy Multi-objective Indefinite Quadratic Transportation Problem with an Application to Cost and Wastage Management in the Food Industry

Singh,

Arora,

Arora

2023

Fuzzy Optimization, Decision-Making and Operations Research

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A novel Approach for Fully Intuitionistic Fuzzy Multi-Objective Fractional Transportation Problem

Cited by 63 publications

References 34 publications

Stability of Parametric Intuitionistic Fuzzy Multi-Objective Fractional Transportation Problem

Stability of Parametric Intuitionistic Fuzzy Multi-Objective Fractional Transportation Problem

A Fuzzy Optimization Technique for Multi-Objective Aspirational Level Fractional Transportation Problem

A Novel Fully Interval-Valued Intuitionistic Fuzzy Multi-objective Indefinite Quadratic Transportation Problem with an Application to Cost and Wastage Management in the Food Industry

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