Approximations of New MV-Valued Types of Fuzzy Sets

Jiří Močkoř

2023

Abstract

Many of the new types of fuzzy sets, such as intuitionistic, neutrosophic, multi-level or fuzzy soft sets and their combinations, can be transformed into one common type of fuzzy sets, called (R,R*)-fuzzy sets, with values in a set R that is a common underlying set of complete commutative idempotent semirings R and R*. For (R,R*)-fuzzy sets, the theory of lower and upper approximations by (R,R*)-relations is defined and the basic properties of these approximations are presented. Using examples of the transformation of some new types of MV-valued fuzzy sets and corresponding fuzzy relations into R-fuzzy sets and R-fuzzy relations, examples of approximation of these new types of fuzzy sets through their fuzzy relations are presented, without having to define these operators separately for each new type of fuzzy set.

Paper Citation

in Harvard Style

Močkoř J. (2023). Approximations of New MV-Valued Types of Fuzzy Sets. In Proceedings of the 15th International Joint Conference on Computational Intelligence - Volume 1: FCTA; ISBN 978-989-758-674-3, SciTePress, pages 327-337. DOI: 10.5220/0012157300003595

in Bibtex Style

@conference{fcta23,
author={Jiří Močkoř},
title={Approximations of New MV-Valued Types of Fuzzy Sets},
booktitle={Proceedings of the 15th International Joint Conference on Computational Intelligence - Volume 1: FCTA},
year={2023},
pages={327-337},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012157300003595},
isbn={978-989-758-674-3},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 15th International Joint Conference on Computational Intelligence - Volume 1: FCTA
TI - Approximations of New MV-Valued Types of Fuzzy Sets
SN - 978-989-758-674-3
AU - Močkoř J.
PY - 2023
SP - 327
EP - 337
DO - 10.5220/0012157300003595
PB - SciTePress