Triangular Dense Fuzzy Neutrosophic Sets

Authors

  • Sujit Kumar De Department of Mathematics, Midnapore College (Autonomous), 721101 West Bengal, India
  • Ismat Beg Centre for Mathematics and Statistical Sciences, Lahore School of Economics, 53200 Lahore, Pakistan

Keywords:

Dense fuzzy set, Triangular dense fuzzy neutrosophic set, defuzzification method

Abstract

Abstract. In this study, we introduce the concept of denser property in fuzzy membership function used in neutrosophic sets. We present several new definitions and study their properties. Defuzzification methods over neutrosophic triangular dense fuzzy sets and neutrosophic triangular intuitionistic dense fuzzy sets are then given. Finally, the practical applicability of the methods have been discussed with graphical implications in recent times.

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Author Biographies

  • Sujit Kumar De, Department of Mathematics, Midnapore College (Autonomous), 721101 West Bengal, India

    Abstract. In this study, we introduce the concept of denser property in fuzzy membership function used in neutrosophic sets. We present several new definitions and study their properties. Defuzzification methods over neutrosophic triangular dense fuzzy sets and neutrosophic triangular intuitionistic dense fuzzy sets are then given. Finally practical applicability of the methods have been discussed with graphical implications in recent times.

  • Ismat Beg, Centre for Mathematics and Statistical Sciences, Lahore School of Economics, 53200 Lahore, Pakistan

    Abstract. In this study, we introduce the concept of denser property in fuzzy membership function used in neutrosophic sets. We present several new definitions and study their properties. Defuzzification methods over neutrosophic triangular dense fuzzy sets and neutrosophic triangular intuitionistic dense fuzzy sets are then given. Finally practical applicability of the methods have been discussed with graphical implications in recent times.

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Published

2016-12-15

Issue

Vol. 13 (2016): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Kumar De, S. ., & Beg, . I. . (2016). Triangular Dense Fuzzy Neutrosophic Sets. Neutrosophic Sets and Systems, 13, 24-37. https://fs.unm.edu/nss8/index.php/111/article/view/469