An interval-valued fuzzy soft set based triple I method

Abstract

This paper focuses on triple I inference method based on interval-valued fuzzy soft sets. Computational formulas for both interval-valued fuzzy soft modus ponens (IVF-SMP) and interval-valued fuzzy soft modus tollens (IVFSMT) with respect to left-continuous interval-valued t-norms and its residual interval-valued implication are presented. Besides, the reversibility property of triple I methods of IVFSMP and IVFSMT are analyzed.