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Journal of Information and Optimization Sciences

(Since 1980)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0103·ISSN (Print): 0252-2667

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Monthly Journal: Publishes theoretical and applied research on topics in information and optimization sciences.

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Journal of Information and Optimization Sciences
Open Access Research Article

An approach to fuzzy transportation problem using Triacontakaidigon fuzzy number with alpha cut ranking technique

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pp. 625–635Vol. 44Issue 4May 2023DOI: 10.47974/JIOS-1180XML
Received:
01 Nov 2021
Accepted:
03 May 2022
Published Online:
28 Aug 2023
Article type:
Research Article
Language:
EN
Article no.:
JIOS-1180
Pages:
625–635

Abstract

One of the particular issues with linear programming is transportation. These are optimization efforts whose goal is to reduce the overall cost of moving goods or people through intricate logistical systems. To reduce the overall transit costs involved in distribution, the problem can be solved by optimizing the delivery system of the specific entity (such as any goods, a person, or a material) from sources (suppliers) to destinations (customers). When evacuating a region, transportation concerns are used to determine the best route for evacuees to take from boarding points to evacuation centers. Particular attention is paid to the travel distance and the overall cost of moving one person.Finding the right number of items to send from each warehouse to each customer while keeping costs to a minimum is the goal of this problem’s solution. In this study, a novel fuzzy number called the Triacontakaidigon Fuzzy Number and its membership function are introduced. In terms of both form and computation, the triacontakaidigon fuzzy number is more complex than the triangular and trapezoidal fuzzy numbers. A fuzzy ranking approach is an efficient tool for addressing the fuzzy transportation problem, as demonstrated by numerical examples.

Keywords

FTPTriacontagaidigon fuzzy numberAlpha cutLeast cost method

Subject Classifications

(2010) 03E7297P80

References

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