NPN calculi: a family of three strict Q-algebras

Wen-Ran Zhang
{"title":"NPN calculi: a family of three strict Q-algebras","authors":"Wen-Ran Zhang","doi":"10.1109/ISMVL.1991.130739","DOIUrl":null,"url":null,"abstract":"NPN (negative-positive-neutral) calculi, a family of three mathematical structures are introduced for qualitative reasoning. NPN crisp logic extends the usual 4-valued model (+, -, 0, ?) to a 6-valued model (1, 0, +1, (-1, 0), (0, +1), (-1, +1)) and adds one more level of specification to the usual model. NPN fuzzy logic extends the NPN model to the space ( For all (x,y) mod x, y epsilon (-1, 1) and x<or=y) and adds infinite levels of specifications to the usual model. NPN algebra generalizes the NPN model to include algebraic operations on NPN variables defined in the space of (- infinity , infinity ). Based on the three models, NPN relations and NPN matrices are proposed. It is proved that the three models provide three strict qualitative algebras after the usual 4-valued model. Properties of different models are discussed. Potential applications of NPN calculi in qualitative reasoning are outlined.<<ETX>>","PeriodicalId":127974,"journal":{"name":"[1991] Proceedings of the Twenty-First International Symposium on Multiple-Valued Logic","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1991] Proceedings of the Twenty-First International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.1991.130739","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2

Abstract

NPN (negative-positive-neutral) calculi, a family of three mathematical structures are introduced for qualitative reasoning. NPN crisp logic extends the usual 4-valued model (+, -, 0, ?) to a 6-valued model (1, 0, +1, (-1, 0), (0, +1), (-1, +1)) and adds one more level of specification to the usual model. NPN fuzzy logic extends the NPN model to the space ( For all (x,y) mod x, y epsilon (-1, 1) and x>
NPN微积分:由三个严格q -代数组成的一族
NPN(负-正-中性)微积分,一个由三种数学结构组成的家族被引入定性推理。NPN清晰逻辑将通常的4值模型(+,-,0,?)扩展为6值模型(1,0,+1,(-1,0),(0,+1),(-1,+1)),并在通常的模型上增加了一个规格级别。NPN模糊逻辑将NPN模型扩展到空间(For all (x,y) mod x,y epsilon(- 1,1)和x>
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信