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About the Lᵖ space of intuitionistic fuzzy observables [PDF]

open access: yesNotes on IFS, 2023
The aim of this paper is to define an Lᵖ space of intuitionistic fuzzy observables. We work in an intuitionistic fuzzy space (𝓕,m) with product, where 𝓕 is a family of intuitionistic fuzzy events and m is an intuitionistic fuzzy state.
Katarína Čunderlíková
doaj   +2 more sources

On Another Type of Convergence for Intuitionistic Fuzzy Observables

open access: yesMathematics, 2023
The convergence theorems play an important role in the theory of probability and statistics and in its application. In recent times, we studied three types of convergence of intuitionistic fuzzy observables, i.e., convergence in distribution, convergence
Katarína Čunderlíková
doaj   +2 more sources

Coincidence of intuitionistic fuzzy observables [PDF]

open access: yesNotes on IFS
The aim of this paper is to define the notion of coincidence for intuitionistic fuzzy observables. We study the almost everywhere coincidence using intuitionistic fuzzy state m or intuitionistic fuzzy probability 𝓟. We further show the connection between
Katarína Cunderlıková
doaj   +2 more sources

A note about almost uniform convergence on D-poset of intuitionistic fuzzy sets [PDF]

open access: yesNotes on IFS
The aim of this contribution is studying the almost uniform convergence on D-poset of intuitionistic fuzzy sets. We prove the connection between almost everywhere convergence of random variables in Kolmogorov probability space and almost uniform ...
Katarína Čunderlíková
doaj   +3 more sources

Conditional Intuitionistic Fuzzy Mean Value

open access: yesAxioms, 2021
The conditional mean value has applications in regression analysis and in financial mathematics, because they are used in it. We can find papers from recent years that use the conditional mean value in fuzzy cases.
Katarína Čunderlíková
doaj   +1 more source

Are These Requirements Risky: A Proposal of an IoT-Based Requirements Risk Estimation Framework

open access: yesMathematics, 2022
Internet of Things (IoT) systems are revolutionizing traditional living to a new digital living style. In the past, a lot of investigations have been carried out to improve the technological challenges and issues of IoT and have focused on achieving the ...
Chetna Gupta, Varun Gupta
doaj   +1 more source

Convergence in measure of intuitionistic fuzzy observables

open access: yesNotes on Intuitionistic Fuzzy Sets, 2022
The aim of this paper is to define a convergence in measure m, where m is an intuitionistic fuzzy state. We prove a version of weak law of large numbers for a sequence of independent intuitionistic fuzzy observables, too.
Katarína Čunderlíková   +1 more
openaire   +1 more source

Some New Observations on Wijsman ℐ2-Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric Spaces [PDF]

open access: yesJournal of Mathematics, 2021
In this study, we investigate the notions of the Wijsman ℐ2-statistical convergence, Wijsman ℐ2-lacunary statistical convergence, Wijsman strongly ℐ2-lacunary convergence, and Wijsman strongly ℐ2-Cesàro convergence of double sequence of sets in the intuitionistic fuzzy metric spaces (briefly, IFMS).
openaire   +6 more sources

Martingale Convergence Theorem for the Conditional Intuitionistic Fuzzy Probability

open access: yesMathematics, 2020
For the first time, the concept of conditional probability on intuitionistic fuzzy sets was introduced by K. Lendelová. She defined the conditional intuitionistic fuzzy probability using a separating intuitionistic fuzzy probability.
Katarína Čunderlíková
doaj   +1 more source

Intuitionistic fuzzy probability and convergence of intuitionistic fuzzy observables

open access: yesNotes on Intuitionistic Fuzzy Sets, 2022
The aim of this contribution is to define a convergence in distribution, a convergence in measure and an almost everywhere convergence with respect to an intuitionistic fuzzy probability. We prove a version of Central limit theorem, a version of Weak law of large numbers and a version of Strong law of large numbers for intuitionistic fuzzy observables ...
openaire   +1 more source

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