三角代数中$n$折叠ivrl滤波器的研究

IF 0.3 Q4 MATHEMATICS

Mathematica Bohemica Pub Date : 2020-04-01 DOI:10.21136/MB.2019.0104-17

S. Zahiri, A. Saeid

{"title":"三角代数中$n$折叠ivrl滤波器的研究","authors":"S. Zahiri, A. Saeid","doi":"10.21136/MB.2019.0104-17","DOIUrl":null,"url":null,"abstract":"The present study aimed to introduce n-fold interval valued residuated lattice (IVRL for short) filters in triangle algebras. Initially, the notions of n-fold (positive) implicative IVRL-extended filters and n-fold (positive) implicative triangle algebras were defined. Afterwards, several characterizations of the algebras were presented, and the correlations between the n-fold IVRL-extended filters, n-fold (positive) implicative algebras, and the Gödel triangle algebra were discussed.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":" ","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An investigation on the $n$-fold IVRL-filters in triangle algebras\",\"authors\":\"S. Zahiri, A. Saeid\",\"doi\":\"10.21136/MB.2019.0104-17\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The present study aimed to introduce n-fold interval valued residuated lattice (IVRL for short) filters in triangle algebras. Initially, the notions of n-fold (positive) implicative IVRL-extended filters and n-fold (positive) implicative triangle algebras were defined. Afterwards, several characterizations of the algebras were presented, and the correlations between the n-fold IVRL-extended filters, n-fold (positive) implicative algebras, and the Gödel triangle algebra were discussed.\",\"PeriodicalId\":45392,\"journal\":{\"name\":\"Mathematica Bohemica\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2020-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Bohemica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21136/MB.2019.0104-17\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Bohemica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21136/MB.2019.0104-17","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

在三角代数中引入n重区间值剩余格（简称IVRL）滤波器。首先，定义了n重（正）蕴涵IVRL扩展滤子和n重（负）蕴涵三角代数的概念。然后，给出了代数的几个性质，并讨论了n重IVRL扩展滤子、n重（正）蕴涵代数和Gödel三角代数之间的相关性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

An investigation on the $n$-fold IVRL-filters in triangle algebras

The present study aimed to introduce n-fold interval valued residuated lattice (IVRL for short) filters in triangle algebras. Initially, the notions of n-fold (positive) implicative IVRL-extended filters and n-fold (positive) implicative triangle algebras were defined. Afterwards, several characterizations of the algebras were presented, and the correlations between the n-fold IVRL-extended filters, n-fold (positive) implicative algebras, and the Gödel triangle algebra were discussed.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Mathematica Bohemica MATHEMATICS-

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

52 weeks