Fuzzy soft set theory is becoming more and important for coming up with coherent logical answers to numerous real-world issues that are riddled uncertainty, imprecision, vagueness. The intuitionistic fuzzy was investigated theoretically later on. Wherever uncertainty resulting from ambiguity manifests in sophisticated ways, the combination of efficient an implementational standpoint. In this pa...

When a decision-maker gives such type of data like yes, no, abstain, or neutral along with 2-dimensional information in grading system, then the existing notions as fuzzy N-soft set (FN-SS), intuitionistic FN-SS are not capable to handle data. To and other problems we introduce notion complex picture sets (CPFN-SS) which is fusion (CPFSs) (N-SS). CPFN-SS vital technique tricky unreliable real-l...

In this paper, it is aimed to express more accurately the intuitionistic fuzzy values expressed by decision-makers for parameterized soft sets. For purpose, virtual sets are proposed defining concepts of lower and upper approaches. Moreover, basic set operations hybrid type examined together with their associated properties. addition, a decision-making algorithm focusing on constructed. Finally...

This article introduces the notion of bipolar complex fuzzy soft set as a generalization and set. Furthermore, this contains elementary operations for sets such complement, union, intersection, extended related properties. The OR AND are also initiated in study. Moreover, study decision-making algorithm real-life examples to display success usability sets. Finally, comparative notions with some...