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Some Results in Weak Pseudo-Quasi-Wajsberg Algebras

School of Mathematical Sciences, University of Jinan, No. 336, West Road of Nan Xinzhuang, Jinan 250022, China
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Symmetry 2019, 11(4), 447; https://doi.org/10.3390/sym11040447
Received: 26 January 2019 / Revised: 20 March 2019 / Accepted: 23 March 2019 / Published: 29 March 2019
(This article belongs to the Special Issue Mathematical Fuzzy Logic and Fuzzy Set Theory)
In this paper we continue to investigate weak pseudo-quasi-Wajsberg algebras which are called weak PQW-algebras for short. First, some definitions are recalled and the basic properties of weak PQW-algebras are presented. Next, we define the notions of type-I filters, type-II filters, left weak filters and right weak filters of a weak PQW-algebra and study related properties of them. We also discuss the relation between normal filters and filter congruences on a weak PQW-algebra. Finally, we characterize the relationship between weak PQW-algebras and some bounded residuated quasi-ordered monoids with supplementary conditions. View Full-Text
Keywords: weak pseudo-quasi-Wajsberg algebras; filters; weak filters; residuated weak pseudo-quasi-Wajsberg algebras; filters; weak filters; residuated
MDPI and ACS Style

Liu, W.; Chen, W. Some Results in Weak Pseudo-Quasi-Wajsberg Algebras. Symmetry 2019, 11, 447.

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