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n-Dimensional Interval Valued Fuzzy Subsemigroup in Semigroups(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2023年01期
Page:
6-10,17
Research Field:
数学
Publishing date:

Info

Title:
n-Dimensional Interval Valued Fuzzy Subsemigroup in Semigroups
Author(s):
Song Aili; Wang Fengxiao
(College of Mathematics and Statistics, Kashi University, Xinjiang 844000, China)
Keywords:
semigroup;  n-dimensional fuzzy set;  interval valued fuzzy set;  n-dimensional interval valued fuzzy subsemigroup;  direct product
PACS:
O159
DOI:
10.3969/j.issn.1001-4616.2023.01.002
Abstract:
Fuzzy subsemigroups of semigroups are an important research field of semigroup fuzzy theory. Combining the concepts of n-dimensional fuzzy sets and interval valued fuzzy sets,the concept of n-dimensional interval valued fuzzy sets is introduced and applied to semigroups. The concept of n-dimensional interval valued fuzzy subsemigroups of semigroups is introduced. The basic properties of n-dimensional interval valued fuzzy subsemigroups of semigroups are discussed. The relations between n-dimensional interval valued fuzzy subsemigroups,interval valued fuzzy subsemigroups and subsemigroups of semigroups are given. It is proved that the intersection and direct product of n-dimensional interval valued fuzzy subsemigroups of semigroups are still n-dimensional interval valued fuzzy subsemigroups.

References:

[1]ATANASSOV K. Intuitionistic fuzzy sets[J]. Fuzzy sets and systems,1986,20:87-96.
[2]ATANASSOV K. Interval-valued intuitionistic fuzzy sets[J]. Fuzzy sets and systems,1989,31:343-349.
[3]王丰效. 半群的(U,V)区间值模糊双理想[J]. 吉林大学学报(自然科学版),2019,57(3):487-492.
[4]WANG F X. Inter-valued intuitionistic fuzzy ideals of B-algebras[J]. Journal of intelligent and fuzzy systems,2017,33(4):2609-2615.
[5]MASARWAH A A,AHMAD A G. n-Polar fuzzy ideals of BCK/BCI-algebras[J]. Journal of King Saud University,2018,(1):1-7.
[6]LI X S,YUAN X H,LEE E S. The three dimensional fuzzy sets and their cut sets[J]. Computers and mathematics with applications,2009,58:1349-1359.
[7]SHANG Y G,YUAN X H,LEE E S. The n-dimensional fuzzy sets and Zadeh fuzzy sets based on a finite valued fuzzy sets[J]. Computers and mathematics with applications,2010,60:442-463.
[8]SHABIR M,RAFIQ M. On n-dimensional Fuzzy Ideals of Semigroups[J]. World applied sciences journal,2012,18(11):1546-1555.
[9]KIM K H,JUN Y B. Intuitionistic fuzzy interior ideals of semigroups[J]. International journal of mathematics,2001,27:261-267.
[10]KIM K H,JUN Y B. Intuitionistic fuzzy ideals of semigroups[J]. Indian journal of pure and applied mathematics,2002,33:443-449.
[11]KUROKI N. Fuzzy generalized bi-ideals in semigroups[J]. Information sciences,1992,66:235-243.
[12]LAJOS S,JUN Y B. On fuzzy(1,2)-ideals of semigroups[J]. Pure mathematics and applications,1997,8:335-338.
[13]DIB K A,GALHUM N. Fuzzy ideals and fuzzy bi-ideals in fuzzy semigroups[J]. Fuzzy sets and systems,1997,92:103-111.
[14]HONG S M,JUN Y B,MENG J. Fuzzy interior ideals in semigroups[J]. Indian journal of pure and applied mathematics,1995,26:859-863.
[15]HONG Y,FANG X. Characterizing intraregular semigroups by intuitionistic fuzzy sets[J]. Mathware and soft computing,2005,12:121-128.

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Last Update: 2023-03-15