Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)

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On Quotient Structures of Fuzzy Multiset Finite Automata

Authors
Anand P. Singh, M. K. Dubey, I. Perfilieva
Corresponding Author
Anand P. Singh
Available Online 30 August 2021.
DOI
10.2991/asum.k.210827.023How to use a DOI?
Keywords
Multiset, fuzzy multiset finite automaton, congruence relation, admissible relation, homomorphism
Abstract

The objective of this paper is to characterize the quotient structures of fuzzy multiset finite automata. We introduce different congruence relation on multiset associated with fuzzy multiset finite automata and show that each congruence relation associates a semigroup with the fuzzy multiset finite automata. We also discuss the charaterization of fuzzy multiset finite automata by defining an admissible relation.

Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
30 August 2021
ISBN
10.2991/asum.k.210827.023
ISSN
2589-6644
DOI
10.2991/asum.k.210827.023How to use a DOI?
Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Anand P. Singh
AU  - M. K. Dubey
AU  - I. Perfilieva
PY  - 2021
DA  - 2021/08/30
TI  - On Quotient Structures of Fuzzy Multiset Finite Automata
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 164
EP  - 170
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.023
DO  - 10.2991/asum.k.210827.023
ID  - Singh2021
ER  -