A New Type-2 Soft Set: Type-2 Soft Graphs and Their Applications
The correspondence between a vertex and its neighbors has an essential role in the structure of a graph. Type-2 soft sets are also based on the correspondence of primary parameters and underlying parameters. In this study, we present an application of type-2 soft sets in graph theory. We introduce v...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2017/6162753 |
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| _version_ | 1832564363748179968 |
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| author | Khizar Hayat Muhammad Irfan Ali Bing-Yuan Cao Xiao-Peng Yang |
| author_facet | Khizar Hayat Muhammad Irfan Ali Bing-Yuan Cao Xiao-Peng Yang |
| author_sort | Khizar Hayat |
| collection | DOAJ |
| description | The correspondence between a vertex and its neighbors has an essential role in the structure of a graph. Type-2 soft sets are also based on the correspondence of primary parameters and underlying parameters. In this study, we present an application of type-2 soft sets in graph theory. We introduce vertex-neighbors based type-2 soft sets over X (set of all vertices of a graph) and E (set of all edges of a graph). Moreover, we introduce some type-2 soft operations in graphs by presenting several examples to demonstrate these new concepts. Finally, we describe an application of type-2 soft graphs in communication networks and present procedure as an algorithm. |
| format | Article |
| id | doaj-art-ddad926aeef4490e948de4aece20b3fc |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-ddad926aeef4490e948de4aece20b3fc2025-02-03T01:11:12ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2017-01-01201710.1155/2017/61627536162753A New Type-2 Soft Set: Type-2 Soft Graphs and Their ApplicationsKhizar Hayat0Muhammad Irfan Ali1Bing-Yuan Cao2Xiao-Peng Yang3School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510000, ChinaDepartment of Mathematics, Islamabad Model College for Girls, F-6/2, Islamabad, PakistanSchool of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510000, ChinaSchool of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510000, ChinaThe correspondence between a vertex and its neighbors has an essential role in the structure of a graph. Type-2 soft sets are also based on the correspondence of primary parameters and underlying parameters. In this study, we present an application of type-2 soft sets in graph theory. We introduce vertex-neighbors based type-2 soft sets over X (set of all vertices of a graph) and E (set of all edges of a graph). Moreover, we introduce some type-2 soft operations in graphs by presenting several examples to demonstrate these new concepts. Finally, we describe an application of type-2 soft graphs in communication networks and present procedure as an algorithm.http://dx.doi.org/10.1155/2017/6162753 |
| spellingShingle | Khizar Hayat Muhammad Irfan Ali Bing-Yuan Cao Xiao-Peng Yang A New Type-2 Soft Set: Type-2 Soft Graphs and Their Applications Advances in Fuzzy Systems |
| title | A New Type-2 Soft Set: Type-2 Soft Graphs and Their Applications |
| title_full | A New Type-2 Soft Set: Type-2 Soft Graphs and Their Applications |
| title_fullStr | A New Type-2 Soft Set: Type-2 Soft Graphs and Their Applications |
| title_full_unstemmed | A New Type-2 Soft Set: Type-2 Soft Graphs and Their Applications |
| title_short | A New Type-2 Soft Set: Type-2 Soft Graphs and Their Applications |
| title_sort | new type 2 soft set type 2 soft graphs and their applications |
| url | http://dx.doi.org/10.1155/2017/6162753 |
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