Algorithm Approaches for Shortest Path Problem in an Interval - Valued Triangular Pythagorean Fuzzy Network
It has been proposed to use Pythagorean fuzzy sets (PFS), is an extension of fuzzy sets (FSs), to address uncertainty in practical decision – making problems. Then the Shortest Path Problem (SPP) is a well – known network improvement issue with numerous practical applications. Then the shortest Path...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Accademia Piceno Aprutina dei Velati
2023-03-01
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| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1064 |
| _version_ | 1797852402386206720 |
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| author | Asim Basha M Mohammed Jabarulla M |
| author_facet | Asim Basha M Mohammed Jabarulla M |
| author_sort | Asim Basha M |
| collection | DOAJ |
| description | It has been proposed to use Pythagorean fuzzy sets (PFS), is an extension of fuzzy sets (FSs), to address uncertainty in practical decision
– making problems. Then the Shortest Path Problem (SPP) is a well
– known network improvement issue with numerous practical applications. Then the shortest Path (SP) and the shortest distance (SD)
in an Interval – valued Pythagorean fuzzy graph (I-VPFG) are found
using a method in the current communication. Nodes and connections are crisp, while the edge weights are I-V triangular Pythagorean
fuzzy numbers (I-VTPFN). Additionally, a numerical example has
been used to demonstrate the suggested strategy. |
| first_indexed | 2024-04-09T19:33:46Z |
| format | Article |
| id | doaj.art-b6bcf28087724748af11a4d7b868b7ef |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-04-09T19:33:46Z |
| publishDate | 2023-03-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-b6bcf28087724748af11a4d7b868b7ef2023-04-04T20:02:56ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142023-03-0146010.23755/rm.v46i0.1064771Algorithm Approaches for Shortest Path Problem in an Interval - Valued Triangular Pythagorean Fuzzy NetworkAsim Basha M0Mohammed Jabarulla M1PG & Resarch Depart of mathematics Jamal Mohamed College (Autonomus) Afiliated to Bharthidasan University, Tiruchirappalli 620020, India;PG & Resarch Depart of mathematics Jamal Mohamed College (Autonomus) Afiliated to Bharthidasan University, Tiruchirappalli 620020, India;It has been proposed to use Pythagorean fuzzy sets (PFS), is an extension of fuzzy sets (FSs), to address uncertainty in practical decision – making problems. Then the Shortest Path Problem (SPP) is a well – known network improvement issue with numerous practical applications. Then the shortest Path (SP) and the shortest distance (SD) in an Interval – valued Pythagorean fuzzy graph (I-VPFG) are found using a method in the current communication. Nodes and connections are crisp, while the edge weights are I-V triangular Pythagorean fuzzy numbers (I-VTPFN). Additionally, a numerical example has been used to demonstrate the suggested strategy.http://eiris.it/ojs/index.php/ratiomathematica/article/view/1064i - v pythagorean fuzzy sets (i-vpfs), i – v pythagorean fuzzy graph (i-vpfg), i – v triangular pythagorean fuzzy number (ivtpfn), ranking function (rf), i – v pythagorean fuzzy shortest path problem (i-vpfspp) |
| spellingShingle | Asim Basha M Mohammed Jabarulla M Algorithm Approaches for Shortest Path Problem in an Interval - Valued Triangular Pythagorean Fuzzy Network Ratio Mathematica i - v pythagorean fuzzy sets (i-vpfs), i – v pythagorean fuzzy graph (i-vpfg), i – v triangular pythagorean fuzzy number (ivtpfn), ranking function (rf), i – v pythagorean fuzzy shortest path problem (i-vpfspp) |
| title | Algorithm Approaches for Shortest Path Problem in an Interval - Valued Triangular Pythagorean Fuzzy Network |
| title_full | Algorithm Approaches for Shortest Path Problem in an Interval - Valued Triangular Pythagorean Fuzzy Network |
| title_fullStr | Algorithm Approaches for Shortest Path Problem in an Interval - Valued Triangular Pythagorean Fuzzy Network |
| title_full_unstemmed | Algorithm Approaches for Shortest Path Problem in an Interval - Valued Triangular Pythagorean Fuzzy Network |
| title_short | Algorithm Approaches for Shortest Path Problem in an Interval - Valued Triangular Pythagorean Fuzzy Network |
| title_sort | algorithm approaches for shortest path problem in an interval valued triangular pythagorean fuzzy network |
| topic | i - v pythagorean fuzzy sets (i-vpfs), i – v pythagorean fuzzy graph (i-vpfg), i – v triangular pythagorean fuzzy number (ivtpfn), ranking function (rf), i – v pythagorean fuzzy shortest path problem (i-vpfspp) |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1064 |
| work_keys_str_mv | AT asimbasham algorithmapproachesforshortestpathprobleminanintervalvaluedtriangularpythagoreanfuzzynetwork AT mohammedjabarullam algorithmapproachesforshortestpathprobleminanintervalvaluedtriangularpythagoreanfuzzynetwork |