Filter theory on hyper equality algebras

• Published in: Soft computing (Berlin, Germany) Vol. 25; no. 11; pp. 7257 - 7269
• Main Authors: Borzooei, R. A., Kologani, M. Aaly, Hashemi, M. A.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2021; Springer Nature B.V
• Subjects: Algebra; Artificial Intelligence; Computational Intelligence; Control; Engineering; Equality; Foundations; Fuzzy sets; Mathematical Logic and Foundations; Mechatronics; Robotics; Implicative filter; Positive implicative filter; Filter; Equality algebra; Hyper equality algebra; Fantastic filter

In this paper, some results related to properties of various versions in equality algebras are given by using the notion of hyper equality algebras. We introduce some types of filters such as implicative, positive implicative and fantastic filters on hyper equality algebras and prove some results de...