In approximate reasoning (AR), inference mechanisms are functions that produce meaningful outcomes using imprecise input data [1]. To deal with the imprecision in the data, fuzzy sets are applied. Inference mechanisms that use fuzzy set theory for specific purposes are referred to as fuzzy inference mechanisms. The fuzzy inference mechanisms such as (i) Fuzzy Relational Inference (FRI), (ii) Similarity- Based Reasoning (SBR) [2–5], and (iii) Takagi–Sugeno (TS) fuzzy system [6] are very well known. Two of the well-known FRIs are the Compositional Rule of Inference (CRI) [7, 8], and the Bandler–Kohout Subproduct (BKS) [9] based on the works of Bandler and Kohout [10]. As part of this study, we primarily focus on BKS. © 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.