[1] L. P. Belluce, Semisimple algebras of infinite valued logic and bold fuzzy set theory, Canad. J. Math.,
38 (1986), 1356-1379.
[2] Birkhoff, Lattice theory, American Mathematical Society Raode Island (1940).
[3] M. Botur, A. Dvurecenskij, State-morphism algebras general approach, Fuzzy Sets Sys, 218 (2013),
90-102.
جبرهای حالت ۲۴ ‑MV لالالایه حالت در ‑n ایده الهای سرسخت
[4] C. C. Chang, Algebraic analysis of many valued logic, Trans. Amer. Math. Soc., 88 (1958), 467-490.
[5] R. Cignoli, I. M. L. D’Ottaviano, D. Mundici, Algebraic Foundations of Many-Valued Reasoning,
Kluwer Academic, Dordrecht, (2000).
[6] L. C. Ciungu, A. Dvurecenskij, M. Hycko, State BL-algebras, Soft Comput., 15 (2011), 619-634.
[7] A. Di Nola, A. Dvurečenskij, State-morphism MV-algebras. Ann Pure Appl Logic 161 (2009),161-
173.
[8] A. Di Nola, A. Dvurečenskij, A. Lettieri, On varieties ofMV -algebras with internal states, Inter. J.
Approx, Reasoning, (2010), to appear.
[9] A. Dvurečenskij, J. Rachu°nek, D. Salounova, State operators on generalizations of fuzzy structures,
Fuzzy Sets Syst., 187 (2012), 58-76.
[10] F. Forouzesh, A. Darijani, Some calsses of state ideals in stateMV -algebras, Eurasian Mathematical
Journal, Vol. 10, No. 2 (2019), 37-48.
[11] F. Forouzesh, E. Eslami, A. Borumand Saeid, Radical of A-ideals in MV-modules, Analeles, Tiint,
Ifice Ale Universitate, II ”AL. I. Cuza” Dinias, I (S. N.) Mathematicea, Tomul Lexii, 2016, f. 1,
33-56.
[12] F. Forouzesh, E. Eslami, A. Borumand Saeid, On obstinate ideals inMV -algebras, Politehn. Univ.
Bucharest. Sci Bull Series A, Appli Math. Phys. Vol. 76, (2014), 53-62.
[13] F. Forouzesh, n-Fold Obstinate Ideals in MV-Algebras, New Mathematices
and Natural Computation, Vol. 12, No.3 (2016) 1-11.
[14] T. Flaminio, Montagna F, An algebraic approach to states on MV-algebras.
In: Novák V (ed) Fuzzy Logic 2, proceedings of the 5th EUSFLAT conference, September 11–14,
Ostrava, vol II (2007),
pp 201-206.
[15] T. Flaminio, F. Montagna, MV-algebras with internal states and probabilistic
fuzzy logic. Int J Approx Reason 50 (2009), 138-152.
[16] G. Gratzer, Universal Algebra, seconded, New York, 1979.
[17] A. Iorgulescu, Algebras of logic as BCK algebras, Academy of economic
studies Bucharest, Romania, (2008).
[18] A. Kroupa, Every state on semisimpleMV -algebra is integral. Fuzze Setse Syst 157 (2006): 2771-
2782.
[19] J. Kuhr, D. Mundici, De Fineti theorem and Borel states in [0 , 1]-valued algebraic logic. Int J Approx
Reason 46 (1986), 15-63.
[20] S. Motamed and A. Borumand, n-fold obstinate filters in BL-algebras, Neural
Computing and Applications 20 (1986) 15-63.
[21] D. Mundici, Averaging the truth value in Lukasiewicz sentential logic. Studia
Logica 55 (1995):113-127.
[22] D. Mundici, Interpretation of AFC-algebras in Lukasiewicz sentential
calculus, Journal of Functional Analysis 65 (1986) 15-63.
[23] D. Piciu, Algebras of fuzzy logic, Ed. Universitaria Craiova (2007).
پژوهش های ریاضی