Pub Date : 2022-08-01DOI: 10.52547/hatef.jahla.3.3.4
A. Rezaei, S. Soleymani
{"title":"Applications of states to BI-algebras","authors":"A. Rezaei, S. Soleymani","doi":"10.52547/hatef.jahla.3.3.4","DOIUrl":"https://doi.org/10.52547/hatef.jahla.3.3.4","url":null,"abstract":"","PeriodicalId":223827,"journal":{"name":"Journal of Algebraic Hyperstructures and Logical Algebras","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127604282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-01DOI: 10.52547/hatef.jahla.3.2.2
F. Smarandache
In this paper we recall our concepts of n th -Power Set of a Set, SuperHyperOperation, SuperHyperAxiom, SuperHyperAlgebra, and their corresponding Neutrosophic SuperHyperOperation, Neutrosophic SuperHyperAxiom and Neutrosophic SuperHyperAlgebra. In general, in any (cid:12)eld of knowledge, one actually encoun-ters SuperHyperStructures (or more accurately ( m; n )-SuperHyperStructures).
{"title":"Introduction to SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra","authors":"F. Smarandache","doi":"10.52547/hatef.jahla.3.2.2","DOIUrl":"https://doi.org/10.52547/hatef.jahla.3.2.2","url":null,"abstract":"In this paper we recall our concepts of n th -Power Set of a Set, SuperHyperOperation, SuperHyperAxiom, SuperHyperAlgebra, and their corresponding Neutrosophic SuperHyperOperation, Neutrosophic SuperHyperAxiom and Neutrosophic SuperHyperAlgebra. In general, in any (cid:12)eld of knowledge, one actually encoun-ters SuperHyperStructures (or more accurately ( m; n )-SuperHyperStructures).","PeriodicalId":223827,"journal":{"name":"Journal of Algebraic Hyperstructures and Logical Algebras","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127755464","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-01DOI: 10.52547/hatef.jahla.3.2.7
F. Mohammadzadeh, E. Mohammadzadeh
{"title":"Nilpotent soft polygroups","authors":"F. Mohammadzadeh, E. Mohammadzadeh","doi":"10.52547/hatef.jahla.3.2.7","DOIUrl":"https://doi.org/10.52547/hatef.jahla.3.2.7","url":null,"abstract":"","PeriodicalId":223827,"journal":{"name":"Journal of Algebraic Hyperstructures and Logical Algebras","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131313108","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-01DOI: 10.52547/hatef.jahla.3.2.6
M. Aaly Kologani, X. Xin, Y. Jun, M. Mohseni Takallo
{"title":"Positive implicative equality algebras and equality algebras with some types","authors":"M. Aaly Kologani, X. Xin, Y. Jun, M. Mohseni Takallo","doi":"10.52547/hatef.jahla.3.2.6","DOIUrl":"https://doi.org/10.52547/hatef.jahla.3.2.6","url":null,"abstract":"","PeriodicalId":223827,"journal":{"name":"Journal of Algebraic Hyperstructures and Logical Algebras","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117257717","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-01DOI: 10.52547/hatef.jahla.3.2.5
D. Bayrak Delice, S. Erol
{"title":"On subhypergroups of cyclic hypergroups","authors":"D. Bayrak Delice, S. Erol","doi":"10.52547/hatef.jahla.3.2.5","DOIUrl":"https://doi.org/10.52547/hatef.jahla.3.2.5","url":null,"abstract":"","PeriodicalId":223827,"journal":{"name":"Journal of Algebraic Hyperstructures and Logical Algebras","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127023590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-01DOI: 10.52547/hatef.jahla.3.2.3
T. Yannick Lea, D. Joseph, E. Temgoua
{"title":"Residuated lattices derived from filters(ideals) in double Boolean algebras","authors":"T. Yannick Lea, D. Joseph, E. Temgoua","doi":"10.52547/hatef.jahla.3.2.3","DOIUrl":"https://doi.org/10.52547/hatef.jahla.3.2.3","url":null,"abstract":"","PeriodicalId":223827,"journal":{"name":"Journal of Algebraic Hyperstructures and Logical Algebras","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121144191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-01DOI: 10.52547/hatef.jahla.3.2.4
S. Song, Y. Jun
{"title":"Lukasiewicz fuzzy positive implicative ideals in BCK-algebras","authors":"S. Song, Y. Jun","doi":"10.52547/hatef.jahla.3.2.4","DOIUrl":"https://doi.org/10.52547/hatef.jahla.3.2.4","url":null,"abstract":"","PeriodicalId":223827,"journal":{"name":"Journal of Algebraic Hyperstructures and Logical Algebras","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125381111","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-01DOI: 10.52547/hatef.jahla.3.2.1
A. Figallo-Orellano, J. S. Slagter
In the area of fuzzy logic, expansions of these logics by ∆ operator have been intensively studied; the interest of ∆ operator is due to the fact that it presents a fuzzy behavior, the associated systems were studied in propositional and first-order level. On the other hand, the possibility operators that define Łukasiewicz-Moisil algebras have been studied over different classes of algebras; these operators are known as Moisil’s operators in the literature. One of these operators coincides with ∆, showing there are other operators with fuzzy behavior. In this paper, we present the study of Moisil’s operators over an extension of a fuzzy logic; namely, n-valued Gödel logic, thus opening the possibility to explore more fuzzy operators. Article Information Corresponding Author: A. Figallo-Orellano; Received: April 2022; Accepted: Invited paper; Paper type: Original.
{"title":"Possibility operators over n-valued Gödel logic","authors":"A. Figallo-Orellano, J. S. Slagter","doi":"10.52547/hatef.jahla.3.2.1","DOIUrl":"https://doi.org/10.52547/hatef.jahla.3.2.1","url":null,"abstract":"In the area of fuzzy logic, expansions of these logics by ∆ operator have been intensively studied; the interest of ∆ operator is due to the fact that it presents a fuzzy behavior, the associated systems were studied in propositional and first-order level. On the other hand, the possibility operators that define Łukasiewicz-Moisil algebras have been studied over different classes of algebras; these operators are known as Moisil’s operators in the literature. One of these operators coincides with ∆, showing there are other operators with fuzzy behavior. In this paper, we present the study of Moisil’s operators over an extension of a fuzzy logic; namely, n-valued Gödel logic, thus opening the possibility to explore more fuzzy operators. Article Information Corresponding Author: A. Figallo-Orellano; Received: April 2022; Accepted: Invited paper; Paper type: Original.","PeriodicalId":223827,"journal":{"name":"Journal of Algebraic Hyperstructures and Logical Algebras","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127778178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-01DOI: 10.52547/hatef.jahla.3.1.7
R. A. Borzooei, Y. Jun, M. Aaly
{"title":"Ultra deductive systems and (nilpotent) Boolean elements in hoops","authors":"R. A. Borzooei, Y. Jun, M. Aaly","doi":"10.52547/hatef.jahla.3.1.7","DOIUrl":"https://doi.org/10.52547/hatef.jahla.3.1.7","url":null,"abstract":"","PeriodicalId":223827,"journal":{"name":"Journal of Algebraic Hyperstructures and Logical Algebras","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127337819","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-01DOI: 10.52547/hatef.jahla.3.1.6
S. Ghilardi, G. Lenzi
{"title":"Unification in lax logic","authors":"S. Ghilardi, G. Lenzi","doi":"10.52547/hatef.jahla.3.1.6","DOIUrl":"https://doi.org/10.52547/hatef.jahla.3.1.6","url":null,"abstract":"","PeriodicalId":223827,"journal":{"name":"Journal of Algebraic Hyperstructures and Logical Algebras","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125655031","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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