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Title:
Fuzzy Subhypergroups Degree
Authors:
ID
Cristea, Irina Elena
, University of Nova Gorica (Author)
Files:
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Language:
English
Work type:
Not categorized
Typology:
1.01 - Original Scientific Article
Organization:
UNG - University of Nova Gorica
Abstract:
In this paper we define the degree to which a fuzzy subset on a hypergroup is a fuzzy subhypergroup by means of the residuate sets, constructed using the minimum t-norm. We give also some properties of this new index connected with the intersection of a family of fuzzy subhypergroups, and respectively with the homomorphic image/preimage of a fuzzy subset. We conclude with addressing new problems related with intuitionistic fuzzy subhypergroups and fuzzy subpolygroups in the framework of our discussion.
Keywords:
Fuzzy set
,
fuzzy subhypergroup
,
residuate set
,
t-norm
Publication version:
Submitted Version
Year of publishing:
2016
Number of pages:
75-88
Numbering:
1, 27
PID:
20.500.12556/RUNG-2467
COBISS.SI-ID:
4410363
NUK URN:
URN:SI:UNG:REP:4GLJV2BG
Publication date in RUNG:
24.06.2016
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5106
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0
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Record is a part of a journal
Title:
Journal of Multiple-Valued Logic and Soft Computing
Publisher:
Old City Publishing
Year of publishing:
2016
ISSN:
1542-3980
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