Join Spaces, Soft Join Spaces and Lattices

[1] N. Ajmal, The lattice of fuzzy normal subgroups is modular, Information Sciences 83(1996), 199-209.10.1016/0020-0255(94)00074-LSearch in Google Scholar

[2] G. Birkhoff, Lattice Theory, third ed., Colloq. Publ., 25, Amer. Math. Soc., Providence R.I., 1967.Search in Google Scholar

[3] N. çağman, S. Enginoğlu, Soft set theory and uni-int decision making, European Journal of Operational Research 207(2010), 848–855.10.1016/j.ejor.2010.05.004Search in Google Scholar

[4] P. Corsini, Prolegomena of Hypergroup Theory, second edition, (Aviani Editore, 1993).Search in Google Scholar

[5] S. Comer, Multi-valued algebras and their graphical representations, Math. Comp. Sci. Dep. the Citadel. Charleston, South Carolina, 29409, July 1986.Search in Google Scholar

[6] P. Corsini, V. Leoreanu, Applications of Hyperstructure Theory, (Kluwer Academic Publishers, Advances in Mathematics, no. 5, 2003).10.1007/978-1-4757-3714-1Search in Google Scholar

[7] I. Cristea, Sanja Jancic-Rasovic, Composition hyperrings, Analele Stiin-tifice Ale Universitatii Ovidius Constanta-Seria Matematica, 21(2)(2013), 81-94.10.2478/auom-2013-0024Search in Google Scholar

[8] I. Cristea, Complete Hypergroups, 1-Hypergroups and Fuzzy Sets, Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica, 10(2)(2002), 25-38.Search in Google Scholar

[9] F. Feng, Y.M. Li, V. Leoreanu-Fotea, Application of level soft sets in decision making based on interval-valued fuzzy soft sets, Computers and Mathematics with Applications 60(2010), 1756-1767.10.1016/j.camwa.2010.07.006Search in Google Scholar

[10] F. Feng, Y.B. Jun, X.Y. Liu, L.F. Li, An adjustable approach to fuzzy soft set based decision making, Journal of Computational and Applied Mathematics 234(2010), 10–20.10.1016/j.cam.2009.11.055Search in Google Scholar

[11] F. Feng, X.Y. Liu, V. Leoreanu-Fotea, Y.B. Jun, Soft sets and soft rough sets, Information Sciences 181(2011), 1125–1137.10.1016/j.ins.2010.11.004Search in Google Scholar

[12] F. Feng, Y.M. Li, N. Cagman, Generalized uni-int decision making schemes based on choice value soft sets, European Journal of Operational Research 220(2012), 162–170.10.1016/j.ejor.2012.01.015Search in Google Scholar

[13] M. Jafarpour, S. Sh. Mousavi, V. Leoreanu-Fotea, A class of semihyper-groups connected to preordered weak Gamma-semigroups, Computers and Mathematics with Applications 62(2011), 2944-2949.10.1016/j.camwa.2011.07.071Search in Google Scholar

[14] Ath. Kehagias and K. Serafimidis, The L-Fuzzy Nakano Hypergroup, Information Sciences 169(2005), 305-327.10.1016/j.ins.2004.05.010Search in Google Scholar

[15] Ath. Kehagias, K. Serafimidis and M. Konstantinidou, A Note on the Congruences of the Nakano Superlattice and Some Properties of the Associated Quotients, Rendiconti del Circolo Matematico del Palermo, 51(2002), 333-354.10.1007/BF02871659Search in Google Scholar

[16] S. Lavanya, N.P. Bhatta, A new approach to the lattice of convex sub-lattices of a lattice, Algebra Universalis 35(1996), 63-71.10.1007/BF01190969Search in Google Scholar

[17] V. Leoreanu-Fotea, P. Corsini, Soft hypergroups, Critical Review, Creighton University-USA 4(2010), 81-97.Search in Google Scholar

[18] V. Leoreanu- Fotea, B. Davvaz, Join n-spaces and lattices, Journal of Multiple Valued Logic and Soft Computing, 15(5-6)(2009), 421-432.Search in Google Scholar

[19] V. Leoreanu-Fotea, I. G. Rosenberg, Join spaces determined by lattices, Journal of Multiple Valued Logic Soft Computing, 16(1-2)(2010), 7-16.Search in Google Scholar

[20] V. Leoreanu Fotea, I.G. Rosenberg, Hypergroupoids determined by lattices, European Journal of Combinatorics, 31(2010), 925-931.10.1016/j.ejc.2009.06.005Search in Google Scholar

[21] F. Marty, Sur une generalisation de la notion de groupe, 8th Congres Math. Scandinaves, Stockholm, 45-49, 1934.Search in Google Scholar

[22] P.K. Maji, A.R. Roy, R. Biswas, An application of soft sets in a decision making problem, Computers and Mathematics with Applications 44(2002), 1077-1083.10.1016/S0898-1221(02)00216-XSearch in Google Scholar

[23] J. Mittas, M. Konstantinidou, Contributions a la theorie des treillis en liaison avec des structures hypercompositionelles y attachees, Rivista di Matematica Pura e Applicata, 14(1994), 83-114.Search in Google Scholar

[24] D. Molodtsov, Soft set theory–First results, Computers and Mathematics with Applications 37(1999), 19-31.10.1016/S0898-1221(99)00056-5Search in Google Scholar

[25] S. Sh. Mousavi,V. Leoreanu-Fotea, M. Jafarpour, H. Babaei, Equivalence relations in semihypergroups and the corresponding quotient structures, European Journal of Combinatorics 33(2012), 463-473.10.1016/j.ejc.2011.11.008Search in Google Scholar

[26] T. Nakano, Rings and partly ordered systems, Math. Z. 99(1967), 355-376.10.1007/BF01111015Search in Google Scholar

[27] K.R. Nagarajan, G. Meenambigai, An application of soft sets to lattices, Kragujevac Journal of Mathematics 35(1)(2011), 75-87.Search in Google Scholar

[28] W. Prenowitz, J. Jantosciak, Join Geometries, (Springer-Verlag, UTM., 1979).10.1007/978-1-4613-9438-9Search in Google Scholar

[29] K. Serafimidis and Ath. Kehagias, Some Remarks on Congruences obtained from the L-Fuzzy Nakano Hyperoperation, Information Sciences, 176(3)(2006), 301-320.10.1016/j.ins.2004.11.002Search in Google Scholar

[30] M. Tarnauceanu, Actions of groups on lattices, Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica, 10(1)(2002), 135-148.Search in Google Scholar

[31] J.C. Varlet, Remarks on Distributive Lattices, Bull. de l 'Acad. Polonnaise des Sciences, Serie des Sciences Math., Astr. et Phys., 23(1975), 1143-1147.Search in Google Scholar