A novel approach to neutrosophic sets in UP-algebras

被引：2

作者：

Songsaeng, Metawee ^{[1
]}

Iampan, Aiyared ^{[1
]}

机构：

[1] Univ Phayao, Sch Sci, Dept Math, Phayao 56000, Thailand

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2020年 / 21卷 / 01期

关键词：

UP-algebra; special neutrosophic UP-subalgebra; special neutrosophic near UP-filter; special neutrosophic UP-filter; special neutrosophic UP-ideal; special neutrosophic strong UP-ideal; FUZZY-SET; IDEALS; SUBALGEBRAS;

D O I：

10.22436/jmcs.021.01.08

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The notion of neutrosophic sets in UP-algebras was introduced by Songsaeng and Iampan [M. Songsaeng, A. Iampan, Eur. J. Pure Appl. Math., 12 (2019), 1382-1409]. In this paper, the notions of special neutrosophic UP-subalgebras, special neutrosophic near UP-filters, special neutrosophic UP-filters, special neutrosophic UP-ideals, and special neutrosophic strong UP-ideals of UP-algebras are introduced, and several properties are investigated. Conditions for neutrosophic sets to be special neutrosophic UP-subalgebras, special neutrosophic near UP-filters, special neutrosophic UP-filters, special neutrosophic UP-ideals, and special neutrosophic strong UP-ideals of UP-algebras are provided. Relations between special neutrosophic UP-subalgebras (resp., special neutrosophic near UP-filters, special neutrosophic UP-filters, special neutrosophic UP-ideals, special neutrosophic strong UP-ideals) and their level subsets are considered.

引用

页码：78 / 98

页数：21

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