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Article

Parametric Fuzzy Implications Produced via Fuzzy Negations with a Case Study in Environmental Variables

Section of Mathematics and Management, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, 67100 Xanthi, Greece
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Author to whom correspondence should be addressed.
Authors contributed equally to this work.
Academic Editors: Jian-Qiang Wang and José Carlos R. Alcantud
Symmetry 2021, 13(3), 509; https://doi.org/10.3390/sym13030509
Received: 3 February 2021 / Revised: 11 March 2021 / Accepted: 18 March 2021 / Published: 20 March 2021
(This article belongs to the Special Issue Recent Advances in Mathematical Modeling)
In this paper, we present a new Fuzzy Implication Generator via Fuzzy Negations which was generated via conical sections, in combination with the well-known Fuzzy Conjunction. The new Fuzzy Implication Generator takes its final forms after being configured by the fuzzy strong negations and combined with the most well-known fuzzy conjunctions TM, TP, TLK, TD, and TnM. The final implications that emerge, given that they are configured with the appropriate code, select the best value of the parameter and the best combination of the fuzzy conjunctions. This choice is made after comparing them with the Empiristic implication, which was created with the help of real temperature and humidity data from the Hellenic Meteorological Service. The use of the Empiristic implication is based on real data, and it also reduces the volume of the data without canceling them. Finally, the MATLAB code, which was used in the programming part of the paper, uses the new Fuzzy Implication Generator and approaches the Empiristic implication satisfactorily which is our final goal. View Full-Text
Keywords: fuzzy implication; empiristic implication; fuzzy negation via conical sections; fuzzy conjunctions fuzzy implication; empiristic implication; fuzzy negation via conical sections; fuzzy conjunctions
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MDPI and ACS Style

Makariadis, S.; Souliotis, G.; Papadopoulos, B. Parametric Fuzzy Implications Produced via Fuzzy Negations with a Case Study in Environmental Variables. Symmetry 2021, 13, 509. https://doi.org/10.3390/sym13030509

AMA Style

Makariadis S, Souliotis G, Papadopoulos B. Parametric Fuzzy Implications Produced via Fuzzy Negations with a Case Study in Environmental Variables. Symmetry. 2021; 13(3):509. https://doi.org/10.3390/sym13030509

Chicago/Turabian Style

Makariadis, Stefanos, Georgios Souliotis, and Basil Papadopoulos. 2021. "Parametric Fuzzy Implications Produced via Fuzzy Negations with a Case Study in Environmental Variables" Symmetry 13, no. 3: 509. https://doi.org/10.3390/sym13030509

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