<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-interdisciplinary-mathematics</journal-id>
      <journal-title-group>
        <journal-title>Journal of Interdisciplinary Mathematics</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-012X</issn>
      <issn publication-format="print">0972-0502</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIM-1948</article-id>
      <title-group>
        <article-title>Pythagorean fuzzy shortest hyper path in a network</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Basha</surname>
            <given-names>M. Asim</given-names>
          </name>
          <aff>Department of Mathematics, (Affiliated to Bharathidasan University), Jamal Mohamed College (Autonomous), Tiruchirappalli, Tamil Nadu, 620020, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Jabarulla</surname>
            <given-names>M. Mohammed</given-names>
          </name>
          <aff>Department of Mathematics, (Affiliated to Bharathidasan University), Jamal Mohamed College (Autonomous), Tiruchirappalli, Tamil Nadu, 620020, India</aff>
        </contrib>
      </contrib-group>
      <volume>27</volume>
      <issue>5</issue>
      <fpage>1163</fpage>
      <lpage>1173</lpage>
      <pub-date date-type="pub">
        <day>30</day>
        <month>08</month>
        <year>2024</year>
      </pub-date>
      <abstract>
        <p>Objectives: The Pythagorean fuzzy shortest hyperpath problem balances distance minimization with network fuzziness and uncertainty, considering node lengths, membership and non-membership degrees, when accurate data is unavailable or traditional methods cannot handle uncertain information. Methods: Pythagorean Fuzzy Dijkstra’s Algorithm uses Pythagorean fuzzy numbers as edge weights, while the A* algorithm considers fuzziness and uncertainty. Evolutionary, metaheuristic, linear programming, and fuzzy decision-making techniques can be used to solve the Pythagorean fuzzy shortest hyperpath problem. Findings: The Pythagorean fuzzy shortest hyper path algorithm is a useful tool for navigating complex networks under uncertainty, identifying optimal routes, quantifying uncertainty, and providing sensitivity, trade-off, and network resilience analysis. It’s applicable in transportation, logistics, telecommunications, and urban planning. Novelty: The Pythagorean fuzzy shortest hyper path algorithm is a network pathfinding method that uses fuzzy logic principles in graph theory. It quantifies ambiguity along paths, enabling informed decision-making in uncertain environments. This algorithm is applicable across various domains, bridging theoretical concepts with practical applications.</p>
      </abstract>
      <kwd-group>
        <kwd>Intuitionistic fuzzy hyper graph (InFHyG)</kwd>
        <kwd>Pythagorean fuzzy hyper graph (PFHyG)</kwd>
        <kwd>Pythagorean fuzzy number (PFN)</kwd>
        <kwd>Pythagorean fuzzy shortest hyper path (PFSHyP)</kwd>
        <kwd>Triangular pythagorean fuzzy number (TriPFN)</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
