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Open AccessArticle

Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures

1
Department of Mathematics, Hazara University, Mansehra 21120, Pakistan
2
Department of Mathematics, University of New Mexico, Albuquerque, NM 87301, USA
*
Author to whom correspondence should be addressed.
Symmetry 2018, 10(8), 331; https://doi.org/10.3390/sym10080331
Received: 8 July 2018 / Revised: 24 July 2018 / Accepted: 3 August 2018 / Published: 9 August 2018
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. View Full-Text
Keywords: neutrosophic set; bipolar fuzzy set; neutrosophic bipolar fuzzy set; neutrosophic bipolar fuzzy weighted averaging operator; similarity measure; algorithm; multiple attribute decision making problem neutrosophic set; bipolar fuzzy set; neutrosophic bipolar fuzzy set; neutrosophic bipolar fuzzy weighted averaging operator; similarity measure; algorithm; multiple attribute decision making problem
MDPI and ACS Style

Hashim, R.M.; Gulistan, M.; Smarandache, F. Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures. Symmetry 2018, 10, 331. https://doi.org/10.3390/sym10080331

AMA Style

Hashim RM, Gulistan M, Smarandache F. Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures. Symmetry. 2018; 10(8):331. https://doi.org/10.3390/sym10080331

Chicago/Turabian Style

Hashim, Raja M.; Gulistan, Muhammad; Smarandache, Florentin. 2018. "Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures" Symmetry 10, no. 8: 331. https://doi.org/10.3390/sym10080331

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