What question did this study set out to answer?

To establish an analytical framework that simplifies and guarantees solutions for fully intuitionistic fuzzy multi-objective fractional transportation problems under uncertain market parameters.

November 21, 2020Alexandria Engineering JournalOpen Access

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

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Authors

MSMohamed A. El SayedBenha University MAMahmoud A. Abo-SinnaBadr University in Cairo

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Implication

Theoretical modeling demonstrates a linearized solution for fully intuitionistic fuzzy transportation problems, suggesting guaranteed solvability amid market uncertainty.

Key Points

To establish an analytical framework that simplifies and guarantees solutions for fully intuitionistic fuzzy multi-objective fractional transportation problems under uncertain market parameters.
Applied algebraic transformations to convert the nonlinear fractional model into an equivalent linear problem.
Reduced the linearized system into a crisp multi-objective transportation problem using objective-specific accuracy functions.
Derived and proved equivalence relations across linear, hyperbolic, and parabolic membership functions, demonstrating the approach through a numerical example.
Proved theoretically that the fully intuitionistic fuzzy multi-objective fractional transportation problem is always solvable.
Established mathematical equivalence between uncertain fractional formulations and deterministic crisp models across multiple membership function geometries.

Cite This Study

Sayed et al. (2020) studied this question.

synapsesocial.com/papers/6aade0613a629674b6b32007 https://doi.org/10.1016/j.aej.2020.10.063

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Implication

Theoretical modeling demonstrates a linearized solution for fully intuitionistic fuzzy transportation problems, suggesting guaranteed solvability amid market uncertainty.

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

Discussion

Member takes

Implication

Key Points

Cite This Study

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

Discussion

Member takes

Implication

Key Points

Cite This Study

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