Several others have already discussed various types of new techniques in multi-criteria decision-making problems. De-fuzzification, De-eutrophication, and De-Bipolarisation all of these are new approaches that have been established. But this work depicts the concept and features of the Neutrosophic Bipolar Pentagonal Fuzzy number. The relationships and products of the picture fuzzy set, as well as their associated results, are investigated. The different kinds of neutrosophic single-typed bipolar pentagonal numbers (nbpnum) were also discussed. A multi-criteria choice is also done in a triangular Bipolar Neutrosophic Fuzzy Set to identify the ideal output depending on several attributes. A multi-criteria choice is also done in a triangular Bipolar Neutrosophic Fuzzy Set to identify the ideal output depending on several attributes.

Cubic set is a structure with two components which has been applied in the conditions of β   ideals. This paper presents the notion of cubic fuzzy β   ideal of a β algebra. In addition that, the notion of cubic (a, b)-translation, cubic µ- multiplication were presented. Further, some engrossing results of cubic β ideals with the combination of multiplication and translation were investigated.