New ranking for picture fuzzy sets and novel way to address picutre fuzzy transportation problem.
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| Title: | New ranking for picture fuzzy sets and novel way to address picutre fuzzy transportation problem. |
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| Authors: | HEMALATHA, K.1, VENKATESWARLU, B.2 venkatesh.reddy@vit.ac.in |
| Source: | Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi. Apr2026, Vol. 44 Issue 2, p1082-1093. 12p. |
| Subjects: | Transportation problems (Programming), Fuzzy sets, Fuzzy logic, Mathematical optimization, Operations research |
| Abstract: | A significant issue that is being extensively researched in the arena of operation research involves the issue of transportation. The primary objective of this hurdle is to figure out the lowest possible total transportation costs for commodities to provide the items from the origin and satisfy customer demands at destinations. In practical scenarios, the decision-maker might not be certain of the exact figures of the coefficients applicable to the transport issue. Transportation problems with ambiguous and uncertain information can be analyzed using a picture fuzzy set, an extension of an intuitionistic fuzzy set, specifically when extra-linguistic assessment elements are needed. This research combines picture fuzzy figures to represent each unit’s availability, demand, and expense. In this study, picture fuzzy numbers are transformed into precise values using a proposed novel ranking way. Additionally, we developed an innovative approach for determining an initial basic feasible solution to the picture fuzzy transportation problem. To illustrate the proposed technique, we considered three types of numerical examples. The findings of the suggested algorithm were compared with existing tactics in the literature to establish its efficacy [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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