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Bipolar neutrosophic hypergraphs with applications.

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Title: Bipolar neutrosophic hypergraphs with applications.
Authors: Akram, Muhammad1 makrammath@yahoo.com, Luqman, Anam1
Source: Journal of Intelligent & Fuzzy Systems. 2017, Vol. 33 Issue 3, p1699-1713. 15p.
Subjects: Neutrosophic logic, Fuzzy hypergraphs, Fuzzy logic, Fuzzy mathematics, Mathematical programming
Abstract: Hypergraphs are the basis of various techniques which are widely used in modern mathematics. There are many complex phenomena and concepts in many areas, including rewriting systems, problem solving, databases and logic programming which can be represented using hypergraphs. Our main objective in this research paper is to generalize the concept of bipolar neutrosophic sets to hypergraphs. We introduce certain new concepts, including bipolar neutrosophic hypergraphs, elementary, sectionally elementary and B-tempered bipolar neutrosophic hypergraphs. We describe the concepts of transversals, minimal transversals and locally minimal transversals of bipolar neutrosophic hypergraphs and discuss their certain properties. We also develop and implement algorithm for finding minimal bipolar neutrosophic transversals. Further, we present some applications of bipolar neutrosophic hypergraphs in marketing and biology. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Intelligent & Fuzzy Systems is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Bipolar neutrosophic hypergraphs with applications.
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  Data: <searchLink fieldCode="AR" term="%22Akram%2C+Muhammad%22">Akram, Muhammad</searchLink><relatesTo>1</relatesTo><i> makrammath@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22Luqman%2C+Anam%22">Luqman, Anam</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Intelligent+%26+Fuzzy+Systems%22">Journal of Intelligent & Fuzzy Systems</searchLink>. 2017, Vol. 33 Issue 3, p1699-1713. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Neutrosophic+logic%22">Neutrosophic logic</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+hypergraphs%22">Fuzzy hypergraphs</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+logic%22">Fuzzy logic</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+mathematics%22">Fuzzy mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+programming%22">Mathematical programming</searchLink>
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  Data: Hypergraphs are the basis of various techniques which are widely used in modern mathematics. There are many complex phenomena and concepts in many areas, including rewriting systems, problem solving, databases and logic programming which can be represented using hypergraphs. Our main objective in this research paper is to generalize the concept of bipolar neutrosophic sets to hypergraphs. We introduce certain new concepts, including bipolar neutrosophic hypergraphs, elementary, sectionally elementary and B-tempered bipolar neutrosophic hypergraphs. We describe the concepts of transversals, minimal transversals and locally minimal transversals of bipolar neutrosophic hypergraphs and discuss their certain properties. We also develop and implement algorithm for finding minimal bipolar neutrosophic transversals. Further, we present some applications of bipolar neutrosophic hypergraphs in marketing and biology. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Intelligent & Fuzzy Systems is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.3233/JIFS-17228
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        Type: general
      – SubjectFull: Fuzzy hypergraphs
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