Abstract In 1965 Lotfi A. Zadeh published" Fuzzy Sets", his pioneering and controversial
paper, that now reaches almost 100,000 citations. All Zadeh's papers were cited over …

The term" fuzzy logic," as it is understood in this book, stands for all aspects of representing
and manipulating knowledge based on the rejection of the most fundamental principle of …

We present a novel method of decomposition of an n× m binary matrix I into a Boolean
product A○ B of an n× k binary matrix A and ak× m binary matrix B with k as small as …

Several fuzzifications of formal concept analysis have been proposed to deal with uncertain
information. In this paper, we focus on concept lattices under a multi-adjoint paradigm, which …

Attribute reduction is an important step in reducing computational complexity in order to
extract information from relational systems. Three of these systems are the formal, object …

This paper is a follow up to “Belohlavek, Vychodil: What is a fuzzy concept lattice?, Proc.
CLA 2005, 34–45”, in which we provided a then up-to-date overview of various approaches …

This paper presents a comparative study of concept lattices of fuzzy contexts based on
formal concept analysis and rough set theory. It is known that every complete fuzzy lattice …

This paper builds the topological and lattice structures of L-fuzzy rough sets by introducing
lower and upper sets. In particular, it is shown that when the L-relation is reflexive, the upper …

Two important ideas at the core of Zadeh's seminal contributions to fuzzy logic and
approximate reasoning are the notions of granulation and that of possibilistic uncertainty. In …

This paper presents a generalisation of the classical property and object-oriented concept
lattices to a fuzzy environment based on the philosophy of the multi-adjoint paradigm. These …