On Complex Fuzzy S-Implications

Scott Dick

doi:10.1109/TETCI.2020.3038160

On Complex Fuzzy S-Implications

2022-04-01

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Scott Dick *

DOI：10.1109/TETCI.2020.3038160

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Complex fuzzy logic is an emerging topic within computational intelligence. Investigations into complex fuzzy logic operators have mainly focused on conjunction, disjunction and negation operators. Implication operators for complex fuzzy logic have received little attention in the literature to date. We study one complex fuzzy logic, which extends Pythagorean fuzzy sets by adding the concepts of anti-membership and anti-non-membership to the familiar ones of membership and non-membership. We derive an S-implication for this logic, and elucidate its properties.

Keyword:

Fuzzy logic

Lattices

Fuzzy sets

Cognition

Extraterrestrial measurements

Voting

Uncertainty

Complex fuzzy sets

Complex fuzzy logic

Fuzzy implications

Fuzzy logic

On Complex Fuzzy S-Implications

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