Abstract

Abstract In this paper, we introduce a generalization of the total variation called total \(\Lambda _p\)-variation for fuzzy measures and show that the collection of fuzzy measures of bounded \(\Lambda _p\)-variation forms a Banach algebra. Further, we define the term intuitionistic non-monotonic fuzzy measure and apply this concept of total \(\Lambda _p\)-variation to intuitionistic fuzzy measures and prove that the collection of non-monotonic intuitionistic fuzzy measures with bounded \(\Lambda _p\)-variation also forms a Banach algebra.KeywordsFuzzy measureIntuitionistic fuzzy measureBounded variationBanach algebra

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call