View in EDS PDF Full Text

New ranking for picture fuzzy sets and novel way to address picutre fuzzy transportation problem.

Saved in:
Bibliographic Details
Title: New ranking for picture fuzzy sets and novel way to address picutre fuzzy transportation problem.
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]
Copyright of Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi is the property of Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Links:
  – Type: pdflink
Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 193897046
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: New ranking for picture fuzzy sets and novel way to address picutre fuzzy transportation problem.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22HEMALATHA%2C+K%2E%22">HEMALATHA, K.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22VENKATESWARLU%2C+B%2E%22">VENKATESWARLU, B.</searchLink><relatesTo>2</relatesTo><i> venkatesh.reddy@vit.ac.in</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Sigma%3A+Journal+of+Engineering+%26+Natural+Sciences+%2F+Mühendislik+ve+Fen+Bilimleri+Dergisi%22">Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi</searchLink>. Apr2026, Vol. 44 Issue 2, p1082-1093. 12p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Transportation+problems+%28Programming%29%22">Transportation problems (Programming)</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+sets%22">Fuzzy sets</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+logic%22">Fuzzy logic</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Operations+research%22">Operations research</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi is the property of Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=193897046
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.14744/sigma.2026.2028
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 12
        StartPage: 1082
    Subjects:
      – SubjectFull: Transportation problems (Programming)
        Type: general
      – SubjectFull: Fuzzy sets
        Type: general
      – SubjectFull: Fuzzy logic
        Type: general
      – SubjectFull: Mathematical optimization
        Type: general
      – SubjectFull: Operations research
        Type: general
    Titles:
      – TitleFull: New ranking for picture fuzzy sets and novel way to address picutre fuzzy transportation problem.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: HEMALATHA, K.
      – PersonEntity:
          Name:
            NameFull: VENKATESWARLU, B.
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 04
              Text: Apr2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 13047191
          Numbering:
            – Type: volume
              Value: 44
            – Type: issue
              Value: 2
          Titles:
            – TitleFull: Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi
              Type: main
ResultId 1