In this paper we describe a non-nested level-based representation of fuzziness, closely
related to some existing models and concepts in the literature. Our objective is to motivate …

The notion of a fuzzy identity is introduced on a fuzzy subalgebra in the framework of fuzzy
equalities instead of the crisp one. A fuzzy identity may be satisfied by a fuzzy subalgebra …

The membership function of a fuzzy set can be constructed from a family of subsets of a
universal set via the form of resolution identity assuming that the family is nested. In this …

The purpose of this paper is to propose a mechanical procedure to generate fuzzy data from
the observed real number data. The observed data may be imprecise owing to some …

Motivated by the rapidly developing theory of lattice-valued (or, more generally, variety-
based) topological systems, which takes its origin in the crisp concept of S. Vickers …

The concept of representation of a given family of sets by a fuzzy set in such a way that the
level sets of the fuzzy set are precisely the given sets is widely used in the literature for the …

This paper deals with the uniqueness of L-fuzzy sets in the representation of a given family
of subsets of a nonempty set. It first shows a formula of the number of L-fuzzy sets whose …

Given a pre-determined subset SS of (0, 1 (0, 1 and a solidly nested family MM of subsets of
a universal set UU, in this paper, we propose a methodology to construct a fuzzy subset of …

A new methodology for constructing a fuzzy subset of a universal set U from a family of
subsets of U based on a pre-determined range S that is a subset of (0, 1] is proposed in this …

“FUZZY ADDITIVE AND FUZZY MULTIPLICATIVE GROUP” Page 1 Advances and
Applications in Mathematical Sciences Volume 21, Issue 12, October 2022, Pages 6895-6907 …