Henstock-Kurzweil type integral based on generalized g-semiring

Authors:
Ivana Štajner-Papuga
Affiliations:
Institute of Mathematics, University of Novi Sad, 21000 Novi Sad, Yugoslavia
Venue:
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Year:
2002

Citing 4
Cited 0

Pan-operations structure

Fuzzy Sets and Systems
Pseudo-integral based on non-associative and non-commutative pseudo-additition and pseudo-multiplication

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - Special issue on aggregation operators
Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference

Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference
Fuzzy Measure Theory

Fuzzy Measure Theory

Quantified Score

Hi-index	0.00

Visualization

Abstract

We shall consider special class of generalized semiring based on generalized pseudooperations of the following form: x ⊕ y = g(-1)(εg (x) + g(y)): x ⊙ y = g(- 1) (g(x)γ g(y)), where ε and γ are arbitrary but fixed positive real numbers, g is a positive strictly monotone generating function and g(-1) is its pseudo-inverse. Using this pseudo-operations, corresponding pseudo-measure and the Henstock-Kurzweil type integral will be introduced and investigated.