• Publications
  • Influence
Connection Structures
TLDR
In [2] and [3] Clarke presents an axiomatized calculus of individuals based on a primitive predicate "x is connected with y". Expand
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Fuzzy subsethood and belief functions of fuzzy events
  • L. Biacino
  • Mathematics, Computer Science
  • Fuzzy Sets Syst.
  • 2007
TLDR
The definition of belief function is extended to fuzzy events starting from a basic assignment of probability on some fuzzy focal events and using a suitable notion of inclusion for fuzzy subsets. Expand
  • 17
  • 3
An Extension Principle for Closure Operators
This led several authors to investigate the closure systems and the closure operators in the framework of fuzzy set theory. The resulting researches give an elegant and powerful treatment of notionsExpand
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  • 2
  • PDF
Connection Structures: Grzegorczyk's and Whitehead's Definitions of Point
TLDR
Whitehead, in his famous book Process and Reality, proposed a definition of point assuming the concepts of "region" and "connection relation" as primitive. Expand
  • 63
  • 2
Equations with fuzzy numbers
TLDR
We study which conditions have to be verified by the cuts of the fuzzy numbers f and g in order that the equation f ∗ x = g has a solution. Expand
  • 18
  • 2
Logics with approximate premises
M. Ying proposed a propositional calculus in which the reasoning may be approximate by allowing the antecedent clause of a rule to match its premise only approximately. The aim of this note is toExpand
  • 17
  • 2
Fuzzy subsets: a constructive approach
Abstract Notions of recursive enumerability and decidability for fuzzy subsets and of computability for fuzzy maps are proposed. The aim is to give adequate tools when dealing with fuzzy logics,Expand
  • 11
  • 2
Closure systems and L-subalgebras
TLDR
We examine closure systems of fuzzy subalgebras and propose formulas for the L-subalgebra of a required type generated by a given L-set. Expand
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  • 1
Fuzzy logic, continuity and effectiveness
Abstract. It is shown the complete equivalence between the theory of continuous (enumeration) fuzzy closure operators and the theory of (effective) fuzzy deduction systems in Hilbert style. Moreover,Expand
  • 70
  • 1
  • PDF
Approximate Reasoning Based on Similarity
The connection between similarity logic and the theory of closure operators is examined. Indeed one proves that the consequence relation dened in (14) can be obtained by composing two closureExpand
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