International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2270 2020 2020 Possibility neutrosophic bipolar fuzzy soft sets and their applications Department of Mathematics, Government Arts College (affiliated to Bharathidasan University), Thanthonimalai, Karur 639005, Tamilnadu, India A. Priya Department of Mathematics, Thanthai Periyar Government Arts and Science College (affiliated to Bharathidasan University), Tiruchirappalli 624024, Tamilnadu, India P. Maragatha Meenakshi Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand Aiyared Iampan Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamilnadu, India N. Rajesh Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamilnadu, India Suganthi Mariyappan In this work, the possibility neutrosophic bipolar soft sets interact with the possibility bipolar fuzzy soft sets, as well as complementation, union, intersection, AND, and OR. This paper extends the concept of bipolar neutrosophic soft sets to the possibility neutrosophic bipolar soft sets. Our main goal was to demonstrate De Morgan’s law, associate law and distributive law, which are all the laws related to the possibility neutrosophic bipolar soft sets. Also, we present an algorithm that uses a soft set model to solve the decision-making problem primarily in order to simplify the process. 2023 2023 176 192 10.54216/IJNS.230116 https://www.americaspg.com/articleinfo/21/show/2270