Semirings, automata, languages
Semirings, automata, languages
Nonlinear Analysis: Theory, Methods & Applications
Idempotent integral as limit of g-integrals
Fuzzy Sets and Systems - Special issue on fuzzy measures and integrals
Fuzzy Sets and Systems - Special issue on fuzzy measures and integrals
Regular fuzzy measure and representation of comonotonically additive functional
Fuzzy Sets and Systems
Fuzzy Control and Fuzzy Systems
Fuzzy Control and Fuzzy Systems
Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference
Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Large deviation principle with generated pseudo measures
Fuzzy Sets and Systems
A representation of a comonotone-x∨-additive and monotone functional by two Sugeno integrals
Fuzzy Sets and Systems
Generalization of the Jensen inequality for pseudo-integral
Information Sciences: an International Journal
An approach to pseudo-integration of set-valued functions
Information Sciences: an International Journal
Generalization of the Stolarsky type inequality for pseudo-integrals
Fuzzy Sets and Systems
Information aggregation in intelligent systems: An application oriented approach
Knowledge-Based Systems
The theory of pseudo-linear operators
Knowledge-Based Systems
Jensen and Chebyshev inequalities for pseudo-integrals of set-valued functions
Fuzzy Sets and Systems
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In this paper there are stressed some of the advantages of a generalized real analysis (called pseudo-analysis) based on some real operations which are taken instead of the usual addition and product of reals. Namely, there are covered with one theory and so with unified methods many problems (usually nonlinear) from many fields (system theory, optimization, control theory, differential equations, difference equations, etc.). There are presented some important real aggregation functions as triangular norms and triangular conorms and a real semiring with pseudo-operations. First there is presented how these operations occur as basic operations in the theory of fuzzy logics and fuzzy sets and there is shown a generalization of the utility theory represented by hybrid probabilistic-possibilistic measure. The real semirings serve as a base for pseudo-additive measures, pseudo-integrals, pseudo-convolutions which form the pseudo-analysis. There are presented some of the applications by large deviation principle, nonlinear Hamilton-Jacobi equation, cumulative prospect theory.