Three-valued logics arise in several fields of computer science, both inspired by concrete
problems (such as in the management of the null value in databases) and theoretical …

Using as example an incomplete information system with support a set of objects X, we
discuss a possible algebraization of the concrete algebra of the power set of X through quasi …

Rough set theory is an important tool for approximate reasoning about data. Axiomatic
systems of rough sets are significant for using rough set theory in logical reasoning systems …

The term orthopair is introduced to group under a unique definition different ways used to
denote the same concept. Some orthopair models dealing with uncertainty are analyzed …

In this paper, by considering the notion of an MV-algebra, we consider a relationship
between rough sets and MV-algebra theory. We introduce the notion of rough ideal with …

We introduce the notion of derivation for an MV‐algebra and discuss some related
properties. Using the notion of an isotone derivation, we give some characterizations of a …

An algebraic model of a kind of modal extension of de Morgan logic is described under the
name MDS5 algebra. The main properties of this algebra can be summarized as follows:(1) …

In this paper we contribute to the terminological debate about Atanassov's use of the term
“Intuitionistic” in defining his structure based on ortho-pairs of fuzzy sets. In particular, we …

Abstract We investigate certain Brouwer-Zadeh lattices that serve as abstract counterparts of
lattices of effects in Hilbert spaces under the spectral ordering. These algebras, called PBZ …

Rough set theory is an important tool for dealing with granularity and vagueness in
information systems. This paper studies a kind of rough set algebra. The collection of all the …