A characterization of fuzzy neighborhood commutative division rings.
A characterization of regular fuzzy spaces
A continuous operator extending fuzzy ultrametrics
We consider the problem of simultaneous extension of fuzzy ultrametrics defined on closed subsets of a complete fuzzy ultrametric space. We construct an extension operator that preserves the operation of pointwise minimum of fuzzy ultrametrics with common domain and an operation which is an analogue of multiplication by a constant defined for fuzzy ultrametrics. We prove that the restriction of the extension operator onto the set of continuous, partial fuzzy ultrametrics is continuous with respect...
A contraction theorem in fuzzy metric spaces.
A fixed point theorem on the fuzzy number space.
A fuzzy modification of the category of linearly ordered spaces
A new approach for KM-fuzzy partial metric spaces
The main purpose of this paper is to give a new approach for partial metric spaces. We first provide the new concept of KM-fuzzy partial metric, as an extension of both the partial metric and KM-fuzzy metric. Then its relationship with the KM-fuzzy quasi-metric is established. In particularly, we construct a KM-fuzzy quasi-metric from a KM-fuzzy partial metric. Finally, after defining the notion of partial pseudo-metric systems, a one-to-one correspondence between partial pseudo-metric systems and...
A new form of fuzzy -compactness
A new form of -compactness is introduced in -topological spaces by -open -sets and their inequality where is a complete de Morgan algebra. It doesn’t rely on the structure of the basis lattice . It can also be characterized by means of -closed -sets and their inequality. When is a completely distributive de Morgan algebra, its many characterizations are presented and the relations between it and the other types of compactness are discussed. Countable -compactness and the -Lindelöf property...
A note on connectedness in intuitionistic fuzzy special topological spaces.
A related fixed point theorem in two fuzzy metric spaces.
A Tychonoff theorem in intuitionistic fuzzy topological spaces.
Almost compact fuzzy topological spaces
Approximate quantities, hyperspaces and metric completeness
Mostriamo che se è uno spazio metrico completo, allora è completa anche la metrica , indotta in modo naturale da sul sottospazio degli insiemi sfocati («fuzzy») di dati dalle quantità approssimate. Come è ben noto, è una metrica molto interessante nella teoria dei punti fissi di applicazioni sfocate, poiché permette di ottenere risultati soddisfacenti in questo contesto.