Construction of fuzzy sigma-algebras using triangular norms
From MaRDI portal
Publication:1167290
DOI10.1016/0022-247X(82)90015-4zbMath0491.28003MaRDI QIDQ1167290
Publication date: 1982
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Theory of fuzzy sets, etc. (03E72) Classical measure theory (28A99)
Related Items (57)
Triangular norms and TNF-sigma-algebras ⋮ Evidence measures based on fuzzy information ⋮ Fuzzy cardinality and the modeling of imprecise quantification ⋮ The construction of left-continuous t-norms: a geometric approach in two dimensions ⋮ Triangular norms. Position paper II: General constructions and parameterized families ⋮ Problems on triangular norms and related operators ⋮ The fuzzy metric space based on fuzzy measure ⋮ A fuzzy measure algebra as a metric space ⋮ DIFFERENT TYPES OF CONTINUITY OF TRIANGULAR NORMS REVISITED ⋮ Fuzzy sets, probability and measurement ⋮ \(\mathcal L\)-intuitionistic fuzzy \(\sigma\)-algebras ⋮ Symmetric difference operators for fuzzy sets ⋮ Ordinal sums: from triangular norms to bi- and multivariate copulas ⋮ An algebraic generalization of the notion of tribe ⋮ Set-valued measure and fuzzy set-valued measure ⋮ Probability of a fuzzy event: An axiomatic approach ⋮ Characterization of fuzzy measures constructed by means of triangular norms ⋮ Belief and plausibility functions of type-2 fuzzy rough sets ⋮ Some properties of the variations of non-additive set functions on \(T\)-tribes ⋮ Triangular norm-based measures and their Markov kernel representation ⋮ Understanding Relationships Using Copulas ⋮ A measure theoretical approach of the problem of computing production costs ⋮ POWERSET OPERATOR BASED FOUNDATION FORPOINT-SET LATTICE-THEORETIC (POSLAT) FUZZY SET THEORIES and TOPOLOGIES ⋮ Some specific types of fuzzy relation equations ⋮ Fuzzy sets and formal logics ⋮ A note on a generalized Frank functional equation ⋮ Level-based extension of relations ⋮ Associative monotonic operations in fuzzy set theory ⋮ Unnamed Item ⋮ A characterization of the ordering of continuous \(t\)-norms ⋮ Parametric characterization of aggregation functions ⋮ What is optimal in a fuzzy environment? ⋮ A characterization of tribes with respect to the Łukasiewicz t-norm ⋮ Decompositions and range for additive fuzzy measures ⋮ Operations on fuzzy sets - an axiomatic approach ⋮ Additive fuzzy measures and integrals. I ⋮ On limit theorems in fuzzy quantum spaces ⋮ A note on the infinitary action of triangular norms and conorms ⋮ Sufficient triangular norms in many-valued logics with standard negation ⋮ Characterization of measures based on strict triangular norms ⋮ Representations of fuzzy topologies ⋮ The order aspect of the fuzzy real line ⋮ Paths algebra, similarities and system decomposition ⋮ On fuzzy subgroups and fuzzy ideals under triangular norms ⋮ The aggregation operations for decision making in probabilistic fuzzy environment ⋮ Equations of fuzzy relations defined on fuzzy subsets ⋮ Equality relations as a basis for fuzzy control ⋮ Additive fuzzy measures and integrals. III ⋮ Point-set lattice-theoretic topology ⋮ A review of fuzzy set aggregation connectives ⋮ Generalized measures ⋮ Solutions of composite fuzzy relational equations with triangular norms ⋮ Non-atomic fuzzy measures and games ⋮ Aggregating evidence using quantified statements ⋮ On optimality in an uncertain environment ⋮ On the order of triangular norms -- comments on ``A triangular norm hierarchy by E. Cretu ⋮ Mathematics and fuzziness, some personal reflections
Cites Work
- Probabilistic uniformization of fuzzy topologies
- Probabilistische Topologien
- Probabilistisch kompakte L-unscharfe Mengen
- On fuzzy complements
- Statistical metric spaces
- Fuzzy \(\sigma\)-algebras and fuzzy measurable functions
- On the simultaneous associativity of F(x,y) and x+y-F(x,y)
- On the suitability of minimum and product operators for the intersection of fuzzy sets
- Probability measures of fuzzy events
- On the analytic formalism of the theory of fuzzy sets
- Symmetric Summation: A Class of Operations on Fuzzy Sets
- Fuzzy sets
- Statistical Metrics
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Construction of fuzzy sigma-algebras using triangular norms
