Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures
In this paper we provide an application of neutrosophic bipolar fuzzy sets in daily life’s problem related with HOPE foundation that is planning to build a children hospital, which is the main theme of this paper. For it we first develop the theory of neutrosophic bipolar fuzzy sets which...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-08-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/10/8/331 |
| _version_ | 1817996599247241216 |
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| author | Raja Muhammad Hashim Muhammad Gulistan Florentin Smarandache |
| author_facet | Raja Muhammad Hashim Muhammad Gulistan Florentin Smarandache |
| author_sort | Raja Muhammad Hashim |
| collection | DOAJ |
| description | In this paper we provide an application of neutrosophic bipolar fuzzy sets in daily life’s problem related with HOPE foundation that is planning to build a children hospital, which is the main theme of this paper. For it we first develop the theory of neutrosophic bipolar fuzzy sets which is a generalization of bipolar fuzzy sets. After giving the definition we introduce some basic operation of neutrosophic bipolar fuzzy sets and focus on weighted aggregation operators in terms of neutrosophic bipolar fuzzy sets. We define neutrosophic bipolar fuzzy weighted averaging ( N B FWA ) and neutrosophic bipolar fuzzy ordered weighted averaging ( N B FOWA ) operators. Next we introduce different kinds of similarity measures of neutrosophic bipolar fuzzy sets. Finally as an application we give an algorithm for the multiple attribute decision making problems under the neutrosophic bipolar fuzzy environment by using the different kinds of neutrosophic bipolar fuzzy weighted/fuzzy ordered weighted aggregation operators with a numerical example related with HOPE foundation. |
| first_indexed | 2024-04-14T02:24:49Z |
| format | Article |
| id | doaj.art-c8622cf18e8f44efab032740896da658 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-14T02:24:49Z |
| publishDate | 2018-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-c8622cf18e8f44efab032740896da6582022-12-22T02:17:56ZengMDPI AGSymmetry2073-89942018-08-0110833110.3390/sym10080331sym10080331Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity MeasuresRaja Muhammad Hashim0Muhammad Gulistan1Florentin Smarandache2Department of Mathematics, Hazara University, Mansehra 21120, PakistanDepartment of Mathematics, Hazara University, Mansehra 21120, PakistanDepartment of Mathematics, University of New Mexico, Albuquerque, NM 87301, USAIn this paper we provide an application of neutrosophic bipolar fuzzy sets in daily life’s problem related with HOPE foundation that is planning to build a children hospital, which is the main theme of this paper. For it we first develop the theory of neutrosophic bipolar fuzzy sets which is a generalization of bipolar fuzzy sets. After giving the definition we introduce some basic operation of neutrosophic bipolar fuzzy sets and focus on weighted aggregation operators in terms of neutrosophic bipolar fuzzy sets. We define neutrosophic bipolar fuzzy weighted averaging ( N B FWA ) and neutrosophic bipolar fuzzy ordered weighted averaging ( N B FOWA ) operators. Next we introduce different kinds of similarity measures of neutrosophic bipolar fuzzy sets. Finally as an application we give an algorithm for the multiple attribute decision making problems under the neutrosophic bipolar fuzzy environment by using the different kinds of neutrosophic bipolar fuzzy weighted/fuzzy ordered weighted aggregation operators with a numerical example related with HOPE foundation.http://www.mdpi.com/2073-8994/10/8/331neutrosophic setbipolar fuzzy setneutrosophic bipolar fuzzy setneutrosophic bipolar fuzzy weighted averaging operatorsimilarity measurealgorithmmultiple attribute decision making problem |
| spellingShingle | Raja Muhammad Hashim Muhammad Gulistan Florentin Smarandache Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures Symmetry neutrosophic set bipolar fuzzy set neutrosophic bipolar fuzzy set neutrosophic bipolar fuzzy weighted averaging operator similarity measure algorithm multiple attribute decision making problem |
| title | Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures |
| title_full | Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures |
| title_fullStr | Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures |
| title_full_unstemmed | Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures |
| title_short | Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures |
| title_sort | applications of neutrosophic bipolar fuzzy sets in hope foundation for planning to build a children hospital with different types of similarity measures |
| topic | neutrosophic set bipolar fuzzy set neutrosophic bipolar fuzzy set neutrosophic bipolar fuzzy weighted averaging operator similarity measure algorithm multiple attribute decision making problem |
| url | http://www.mdpi.com/2073-8994/10/8/331 |
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