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The major influence of this manuscript is to diagnose the well-recognized and achievable theory of bipolar complex intuitionistic fuzzy N-soft (BCIFN-S) information, which is the generalization of two different theories, bipolar complex intuitionistic fuzzy set (BCIF) and N-soft sets. The diagnosed theory of BCIFN-S set (BCIFN-SS) would cope with information that contains the 2 nd  dimension along with truth degree (containing both positive and negative aspects) and falsity degree (containing both positive and negative aspects) and parameterization along with grades. We also discuss various algebraic operations like union, intersection, compliments, and some of their other types for BCIFN-SS. More, in this manuscript, we interpret the TOPSIS (a technique for order preference by similarity to ideal solution) approach which is dominant and skillful for managing strategic decision-making (DM) dilemmas under the setting of BCIFN-SS. To reveal the applicability and practicality of the diagnosed approach, we interpret a numerical example. In the last of the manuscript, we compare the devised work with certain prevailing theories to reveal supremacy and dominance.

Decision-Making by Using TOPSIS Techniques in the Framework of Bipolar Complex Intuitionistic Fuzzy N-Soft Sets