A fuzzy application of the group Zn to complete hypergroups
The purpose of this paper is the study of intuitionistic fuzzy subhypergroups of some special finite complete hypergroups. More exactly, in this paper we determine all m -tuples, characterizing the considered complete hypergroups, such that the grade intuitionistic fuzzy set ( μ ¯ , λ ¯ ) is an intu...
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| Published in | Soft computing (Berlin, Germany) Vol. 24; no. 5; pp. 3543 - 3550 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.03.2020
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1432-7643 1433-7479 |
| DOI | 10.1007/s00500-019-04121-0 |
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| Abstract | The purpose of this paper is the study of intuitionistic fuzzy subhypergroups of some special finite complete hypergroups. More exactly, in this paper we determine all
m
-tuples, characterizing the considered complete hypergroups, such that the grade intuitionistic fuzzy set
(
μ
¯
,
λ
¯
)
is an intuitionistic fuzzy subhypergroup of such hypergroups. Here, we deal with complete hypergroups obtained from groups isomorphic with the additive groups of integers modulo
p
2
or modulo
pq
, with
p
and
q
distinct odd primes. This article is a continuation of a previous work, concerning the complete hypergroups obtained from groups isomorphic with the additive groups of integers modulo
p
or modulo 2
p
, with
p
a prime number. It represents the starting point, the mathematical base, for writing a general algorithm for characterizing all complete hypergroups obtained from a group
G
and having the grade intuitionistic fuzzy set as an intuitionistic fuzzy subhypergroup. |
|---|---|
| AbstractList | The purpose of this paper is the study of intuitionistic fuzzy subhypergroups of some special finite complete hypergroups. More exactly, in this paper we determine all m-tuples, characterizing the considered complete hypergroups, such that the grade intuitionistic fuzzy set (μ¯,λ¯) is an intuitionistic fuzzy subhypergroup of such hypergroups. Here, we deal with complete hypergroups obtained from groups isomorphic with the additive groups of integers modulo p2 or modulo pq, with p and q distinct odd primes. This article is a continuation of a previous work, concerning the complete hypergroups obtained from groups isomorphic with the additive groups of integers modulo p or modulo 2p, with p a prime number. It represents the starting point, the mathematical base, for writing a general algorithm for characterizing all complete hypergroups obtained from a group G and having the grade intuitionistic fuzzy set as an intuitionistic fuzzy subhypergroup. The purpose of this paper is the study of intuitionistic fuzzy subhypergroups of some special finite complete hypergroups. More exactly, in this paper we determine all m -tuples, characterizing the considered complete hypergroups, such that the grade intuitionistic fuzzy set ( μ ¯ , λ ¯ ) is an intuitionistic fuzzy subhypergroup of such hypergroups. Here, we deal with complete hypergroups obtained from groups isomorphic with the additive groups of integers modulo p 2 or modulo pq , with p and q distinct odd primes. This article is a continuation of a previous work, concerning the complete hypergroups obtained from groups isomorphic with the additive groups of integers modulo p or modulo 2 p , with p a prime number. It represents the starting point, the mathematical base, for writing a general algorithm for characterizing all complete hypergroups obtained from a group G and having the grade intuitionistic fuzzy set as an intuitionistic fuzzy subhypergroup. |
| Author | Hassani Sadrabadi, Elhan Cristea, Irina Davvaz, Bijan |
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| Cites_doi | 10.1016/j.ins.2010.01.002 10.3233/IFS-2010-0455 10.1016/S0165-0114(86)80034-3 10.3923/aja.2009.1.10 10.1007/978-3-319-14762-8 10.15388/Informatica.2016.117 10.1016/0165-0114(94)90229-1 10.1016/j.ins.2008.10.023 10.1007/978-1-4757-3714-1 10.5391/IJFIS.2015.15.1.79 10.1108/K-04-2015-0093 10.3233/IFS-2012-0490 10.3233/IFS-141294 10.1016/j.fss.2007.10.014 10.3233/IFS-130913 10.1016/j.ejc.2010.02.005 10.3233/JIFS-141219 10.1016/S0165-0114(97)00071-7 |
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| Keywords | Complete hypergroup Intuitionistic fuzzy subhypergroup Intuitionistic fuzzy set Wieferich prime |
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| References | Ribenboim (CR32) 1965 Davvaz, Hassani Sadrabadi, Cristea (CR25) 2013; 20 Davvaz, Hassani Sadrabadi, Cristea (CR27) 2015; 44 Zheng, Merigo, Palacios-Marques, Jin, Gu (CR39) 2017; 32 Cristea (CR14) 2010; 7 Cristea (CR15) 2009; 7 Davvaz, Corsini, Leoreanu-Fotea (CR22) 2009; 179 Davvaz, Hassani Sadrabadi (CR24) 2014; 41 Corsini, Leoreanu (CR9) 1995; 20 CR16 CR37 Hassani Sadrabadi, Davvaz (CR30) 2014; 26 Zheng, Palacios-Marques, Zhu (CR40) 2016; 27 Shah, Kausar, Rehman (CR35) 2012; 20 Corsini (CR5) 2003; 27 Corsini, Cristea (CR6) 2003; 14 Cristea, Hassani Sadrabadi, Davvaz (CR20) 2015; 28 Atanassov (CR1) 1986; 20 Corsini, Leoreanu (CR10) 2003 Cristea (CR13) 2002; 10 Yun, Lee (CR38) 2015; 15 CR4 CR3 Davvaz, Cristea (CR23) 2015 Davvaz, Hassani Sadrabadi, Leoreanu-Fotea (CR28) 2012; 23 Zheng, Xiao (CR41) 2016; 45 Corsini, Cristea (CR7) 2004; 1 Prenowitz, Jantosciak (CR31) 1972; 257 Atanassov (CR2) 1994; 61 Savaš (CR34) 2017; 16 Cristea, Davvaz (CR19) 2010; 180 Fathi, Salleh (CR29) 2009; 2 Cristea, Darafsheh (CR18) 2010; 31 Sardar, Mandal, Majumder (CR33) 2015; 6 Cristea, Darafsheh (CR17) 2010; 21 Corsini, Leoreanu-Fotea, Iranmanesh (CR12) 2008; 14 Corsini, Cristea (CR8) 2005; 13 Davvaz (CR21) 1999; 101 Ştefănescu, Cristea (CR36) 2008; 159 Corsini, Leoreanu-Fotea (CR11) 2010; 34 Davvaz, Hassani Sadrabadi, Cristea (CR26) 2012; 4 |
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| Title | A fuzzy application of the group Zn to complete hypergroups |
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