An Application of Product of Intuitionistic Fuzzy Incidence Graphs in Textile Industry
In this research article, we presented the idea of intuitionistic fuzzy incidence graphs (IFIGs) along with their certain properties. The number of operations including Cartesian product (CP), composition, tensor product, and normal product in an IFIGs are also investigated. The method to compute th...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/5541125 |
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| author | Irfan Nazeer Tabasam Rashid Abazar Keikha |
| author_facet | Irfan Nazeer Tabasam Rashid Abazar Keikha |
| author_sort | Irfan Nazeer |
| collection | DOAJ |
| description | In this research article, we presented the idea of intuitionistic fuzzy incidence graphs (IFIGs) along with their certain properties. The number of operations including Cartesian product (CP), composition, tensor product, and normal product in an IFIGs are also investigated. The method to compute the degree of IFIGs obtained by CP, composition, tensor product, and the normal product is discussed. Some important theorems to calculate the degree of the vertices of IFIGs acquired by CP, composition, tensor product, and normal product are elaborated. An application of CP and composition of two IFIGs in the textile industry to find the best combinations of departments expressing the highest percentage of progress and the lowest percentage of nonprogress is provided. A comparative analysis of our study with the existing study is discussed. Our study will be beneficial to comprehend and understand the further characteristics of IFIGs in detail. Another advantage of our study is that it will be helpful to find the maximum percentage of progress and minimum percentage of nonprogress in different departments of universities, garment factories, and hospitals. |
| format | Article |
| id | doaj-art-733ca13c1a0643aabdd3f3fc659a2b6c |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-733ca13c1a0643aabdd3f3fc659a2b6c2025-02-03T06:06:30ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/55411255541125An Application of Product of Intuitionistic Fuzzy Incidence Graphs in Textile IndustryIrfan Nazeer0Tabasam Rashid1Abazar Keikha2University of Management and Technology, Lahore 54770, PakistanUniversity of Management and Technology, Lahore 54770, PakistanVelayat University, Iranshahr, IranIn this research article, we presented the idea of intuitionistic fuzzy incidence graphs (IFIGs) along with their certain properties. The number of operations including Cartesian product (CP), composition, tensor product, and normal product in an IFIGs are also investigated. The method to compute the degree of IFIGs obtained by CP, composition, tensor product, and the normal product is discussed. Some important theorems to calculate the degree of the vertices of IFIGs acquired by CP, composition, tensor product, and normal product are elaborated. An application of CP and composition of two IFIGs in the textile industry to find the best combinations of departments expressing the highest percentage of progress and the lowest percentage of nonprogress is provided. A comparative analysis of our study with the existing study is discussed. Our study will be beneficial to comprehend and understand the further characteristics of IFIGs in detail. Another advantage of our study is that it will be helpful to find the maximum percentage of progress and minimum percentage of nonprogress in different departments of universities, garment factories, and hospitals.http://dx.doi.org/10.1155/2021/5541125 |
| spellingShingle | Irfan Nazeer Tabasam Rashid Abazar Keikha An Application of Product of Intuitionistic Fuzzy Incidence Graphs in Textile Industry Complexity |
| title | An Application of Product of Intuitionistic Fuzzy Incidence Graphs in Textile Industry |
| title_full | An Application of Product of Intuitionistic Fuzzy Incidence Graphs in Textile Industry |
| title_fullStr | An Application of Product of Intuitionistic Fuzzy Incidence Graphs in Textile Industry |
| title_full_unstemmed | An Application of Product of Intuitionistic Fuzzy Incidence Graphs in Textile Industry |
| title_short | An Application of Product of Intuitionistic Fuzzy Incidence Graphs in Textile Industry |
| title_sort | application of product of intuitionistic fuzzy incidence graphs in textile industry |
| url | http://dx.doi.org/10.1155/2021/5541125 |
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