The theory of totally disconnected locally compact (t.d.l.c.)~groups has advanced considerably in recent years. Lie groups over the valued fields ℚ p of p-adic numbers and 𝔽 q ((X)) of formal Laurent ...

Mančinska and Roberson connected the seemingly unrelated fields of nonlocal games and homomorphism indistinguishability by showing that there is a perfect quantum commuting strategy for the graph ...

The concept of a network plays a central role in systems biology, where it encodes interactions between the molecular species. Each directed edge has a sign, which represents either a monotonically ...

Abstract: In this paper, the concepts of the isomorphism and homomorphism of fuzzy sets are given. The sufficient and necessary conditions of isomorphism and homomorphism of fuzzy sets, and some ...

Randolph Grace receives funding from the Marsden Fund, administered by the Royal Society of New Zealand. University of Canterbury provides funding as a member of The Conversation AU. University of ...

Abstract: A complex fuzzy set (CFS) is a generalization of a fuzzy set (FS) in which a limit of degrees occurs on the complex plane with unit disc. The averaging operators are a key part of turning ...

Introduction, Statements, and Notation, Connectives, Well-formed formulas, Tautology, Duality law, Equivalence, Implication, Normal Forms, Functionally complete set ...