Neutrosophic Bipolar Fuzzy Set and its Application in Medicines Preparations

Authors

  • Raja Muhammad Hashim Department of Mathematics and Statistic Hazara University, Mansehra Pakistan
  • Muhammad Gulistan Department of Mathematics and Statistic Hazara University, Mansehra Pakistan
  • Inayatur Rehman Dhofar University Salalah, Oman
  • Nasruddin Hassan UniversityKebangsaan Malaysia, Bangi 43600,Selangor Malaysia
  • Abdul Muhaimin Nasruddin Universiti Putra Malaysia, Serdang 43400, Selangor Malaysia

Keywords:

Neutrosophic bipolar fuzzy sets; multi-attributegroup decision making; neutrosophic bipolar fuzzy transformation techniques; interval values and linguistic variables.

Abstract

Totackle the real life problems we come across, in various fields like computer sciences, medical sciences, social sciences and engineering workswhere we are facing many ambiguities and imprecisions. Here we bring an idea of neutrosophic bipolar fuzzy decision making where hybridized multi-attributes are involved, which is a very helpful tool to tackle the ambiguities and imprecisions. We present the neutrosophic bipolar fuzzy transformation techniques. The different types of attributes are transformed into unified neutrosophic bipolar fuzzy values. It includes the group decision making mode based on hybrid decision making problems with exact values, interval values and linguistic variables. Calculations of weights by decision makers, composition of aggregated weighted neutrosophic bipolar fuzzy decision matrices, determination of entropy weights, finding positive ideal solution(PIS),and negative ideal solution(NIS), calculation of grey relational coefficient ,calculation of degree of weighted grey relational coefficient of each alternative, determination of relative relational degree of each alternative from the positive ideal solution (PIS) and negative ideal solution (NIS) and ranking of the alternatives are the concepts which are introduced in the caseof neutrosophic bipolar fuzzy hybrid multi-attribute group decision making. Eventually, we apply these concepts and techniques upon hybrid multi-attributes decision making problem of selecting the best medicine to cure some particular diseases and developan algorithm for neutrosophic bipolar fuzzy hybrid multi-attribute group decision making.

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Published

2020-07-31

Issue

Section

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

How to Cite

Hashim, R. M. ., Muhammad Gulistan, Rehman, I. ., Hassan, N. ., & Nasruddin, A. M. . (2020). Neutrosophic Bipolar Fuzzy Set and its Application in Medicines Preparations. Neutrosophic Sets and Systems, 31(2020-07-31), 86-100. https://fs.unm.edu/nss8/index.php/111/article/view/434