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<p>We present a general method that can be used to unify the theoretical results for several new <i>MV</i>-valued fuzzy sets, such as intuitionistic fuzzy sets, neutrosophic fuzzy sets, fuzzy soft sets, or multivalued fuzzy sets and their mutual combinations. The results created in this way have properties identical to analogous results for classic <i>MV</i>-valued fuzzy sets, and it is not necessary to prove these results separately for each new type of fuzzy sets. To illustrate this general method, we will show how two related fuzzy Chang topologies can be derived in these new types of fuzzy sets from general approximation spaces.</p>

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Unification of methods for new types of fuzzy sets: general approximation spaces with relational morphisms

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月1日

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  • Jiří Močkoř

摘要

We present a general method that can be used to unify the theoretical results for several new MV-valued fuzzy sets, such as intuitionistic fuzzy sets, neutrosophic fuzzy sets, fuzzy soft sets, or multivalued fuzzy sets and their mutual combinations. The results created in this way have properties identical to analogous results for classic MV-valued fuzzy sets, and it is not necessary to prove these results separately for each new type of fuzzy sets. To illustrate this general method, we will show how two related fuzzy Chang topologies can be derived in these new types of fuzzy sets from general approximation spaces.