Abstract
Vague ring and vague ideal based on vague binary operation are defined, and some properties of them are got. At last, we give the relationships between vague ring and classical ring.
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References
Zadeh, L.A.: Fuzzy sets. Information and Control 8(3), 338–353 (1965)
Rosenfeld, A.: Fuzzy groups. J. Math. Anal. Appl. I35, 512–517 (1971)
Demirci, M.: Fuzzy functions and their fundamental properties. Fuzzy Sets and Systems 106(2), 239–246 (1999)
Sasaki, M.: Fuzzy function. Fuzzy Sets and Systems 55(3), 295–301 (1993)
Demirci, M.: Vague Groups. Journal of Mathematical Analysis and Applications 230(1), 142–156 (1999)
Demirci, M.: A theory of vague lattices based on many-valued equivalence relations-I: general representation results. Fuzzy Sets and Systems 151(3), 437–472 (2005)
Demirci, M.: A theory of vague lattices based on many-valued equivalence relations-II: complete lattices. Fuzzy Sets and Systems 151(3), 473–489 (2005)
Mordeson, J.: Fuzzy Commutative Algebra. World Scientific, London (1998)
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© 2007 Springer-Verlag Berlin Heidelberg
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Ren, Q., Zhang, D., Ma, Z. (2007). On Vague Subring and Its Structure. In: Cao, BY. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71441-5_15
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DOI: https://doi.org/10.1007/978-3-540-71441-5_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71440-8
Online ISBN: 978-3-540-71441-5
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