This paper deal with certain algebraic systems called F-polygroups. We introduce and study the concept of fuzzy topological F-polygroups and prove some related properties. In particular, the fuzzy topological isomorphism theorems of fuzzy topological F-polygroups are proved.
DavvazB. and DehghanA., Nezhad and A. Benvidi, Chemical hyperalgebra: Dismutation reactions, MATCH Communications in Mathematical and in Computer Chemistry67 (2012), 55–63.
15.
DavvazB. and DehghanA., Nezad and A. Benvidi, Chain reactions as experimental examples of ternary algebraic hyperstructures, MATCH Communications in Mathematical and in Computer Chemistry65 (2011), 491–499.
16.
DavvazB. and DehghanA., Nezhad, Dismutation reactions as experimental verifcations of ternary algebraic hyperstructures, MATCH Communications in Mathematical and in Computer Chemistry68 (2012), 551–559.
17.
DavvazB. and Dehgan-nezadA., Chemical examples in hypergroups, Ratio Matematica14 (2003), 71–74.
18.
DavvazB. and DehghanA., Nezad and M. Mazloum-Ardakani, Chemical hyperalgebra: Redox reactions, MATCH Communications in Mathematical and in Computer Chemistry71 (2014), 323–331.
19.
DavvazB. and Leoreanu-FoteaV., International Palm Harbor, USA, Hyperring Theory and Applications2007–Academic Press.
20.
DavvazB., ZhanJ. and ShumK.P., Generalized fuzzy polygroups endowed with interval valued membership functions, J Intell Fuzzy Syst19(3) (2008), 181–188.
21.
FarshiM. and DavvazB., On isomorphism theorems of Fn-polygroups, Journal of Sciences, Islamic Republic of Iran24(3) (2013), 259–267.
22.
FreniD., Une note sur le coeur dun hypergroupe et sur la cloture transitive β* de β, Riv di Mat Pura Appl8 (1991), 153–156.
23.
JafarpourM., AghabozorgiH. and DavvazB., On nilpotent and solvable polygroups, Bulletin of Iranian Mathematical Society39(3) (2013), 487–499.
24.
HeidariD., DavvazB. and ModarresS.M.S., Topological hypergroups in thr sense of Marty, Comm Algebra42 (2014), 4712–4721.
25.
HeidariD., DavvazB. and ModarresS.M.S., Topological polygroups, Bull Malays Math Sci Soc39 (2016), 707–721.
26.
KoskasM., Groupoides, demi-hypergroupes et hypergroupes, J Math Pures Appl49(9) (1970), 155–192.
27.
LiuY.M. and LuoM.K., Fuzzy topology, World Scientific, 9, Advances in Fuzzy Systems-Applications and Theory (1997)–.
28.
MartyF., Sur une generalization de la notion de groupe, 8iem Congres Math Scandinaves, Stockholm, 1934, pp. 45–90.
29.
RosenfeldR., Fuzzy groups, J Math Anal Appl35 (1971), 512–517.
30.
WongC.K., Fuzzy topology: Product and quotient theorems, J Math Anal Appl45 (1974), 512–521.
31.
ZadehL.A., Fuzzy Sets, Inform and Contorol8 (1965), 338–353.
32.
ZahediM.M. and HasankhaniA., F-polygroups I, J Fuzzy Math4 (1996), 533–548.
33.
ZahediM.M. and HasankhaniA., F-polygroups II, Inform Sci89 (1996), 225–243.
34.
ZahediM.M., BolurianM. and HasankhaniA., On polygroups and fuzzy subpolygroups, J Fuzzy Math3 (1995), 1–15.
35.
ZhanJ., LiuQ. and HerawanT., A novel soft rough set: Soft rough hemirings and its multicriteria group decision making, Applied Soft Computing54 (2017), 393–402.
36.
ZhanJ., AliM.I. and MehmoodN., On a novel uncertain soft set model: Z-soft fuzzy rough set model and corresponding decision making methods, Applied Soft Computing56 (2017), 446–457.
37.
MaX., LiuQ. and ZhanJ., A survey of decision making methods based on certain hybrid soft set models, Artificial Intelligence Review47 (2017), 507–530.
38.
ZhanJ. and ZhuK., A novel soft rough fuzzy set: Z-soft rough fuzzy ideals of hemirings and corresponding decision making, Soft Computing21 (2017), 1923–1936.
