Issue:Inverse and direct systems in the category of intuitionistic fuzzy submodules

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Title of paper: Inverse and direct systems in the category of intuitionistic fuzzy submodules Author(s): Çiğdem Gündüz (Aras) Department of Mathematics, Kocaeli University, 41380, Kocaeli, Turkey carasgunduz@gmail.com Bijan Davvaz Department of Mathematics, Yazd University, Yazd, Iran davvaz@yazd.ac.ir Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 20, 2014, Number 3, pages 13-33 Download:  PDF (274  Kb, File info) Abstract: In this paper, we define the concepts of inverse and direct systems in the category of intuitionistic fuzzy modules, and we consider some of their properties. We investigate whether or not the limits of inverse and direct systems of exact sequences of intuitionistic fuzzy modules are exact. Keywords: Inverse and direct systems, Inverse and direct limits, Exact sequence, Fuzzy chain complex, Fuzzy module, Intuitionistic fuzzy module. AMS Classification: 03E72, 06F10, 22F05, 54A40. References: Ameri, R., M. M. Zahedi. Fuzzy chain complex and fuzzy homotopy. Fuzzy Sets and Systems, Vol. 112, 2000, 287–297. Atanassov, K. T. Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, 87–96. Atanassov, K. T. New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 61, 1994, 137–142. Davvaz, B., W. A. Dudek, Y. B. Jun. Intuitionistic fuzzy H -submodules, Information Sciences, Vol. 176, 2006, 285–300. Dold, A. Lectures on Algebraic Topology, Springer-Verlag, Berlin–Heidelberg–New York, 1972. Dudek, W. A., B. Davvaz, Y. B. Jun. On intuitionistic fuzzy subhuperquasigroups of hyperquasigroups, Information Sciences, Vol. 170, 2005, 251–262. Dudek,W. A., Y. B. Jun, B. Davvaz. Intuitionistic (S,T)-fuzzy hyperquasigroups, Soft Computing, Vol. 12, 2008, 251–262. Eilenberg, S., N. Steenrood. Foundations of algebraic topology, Princeton, 1952. Ghadiri, M., B. Davvaz. Direct system and direct limit of Hν-modules, Iranian Journal of Science & Technology, Transaction A; 28, A2, 2004, 267–275. Hang,W.-L., M.-S. Yang. On the J-divergence of intuitionistic fuzzy sets with its application to pattern recognition, Information Sciences, Vol. 178, 2008, 1641–1650. Herrlich, H., G. E. Strecker. Category Theory, Ser. Adv. Math., Allyn and Bacon, Baston, 1973. Leoreanu, V. Direct limits and Inverse Limits of SHR Semigroups, Southeast Asian Bulletion of Mathematics, Vol. 25, 2001, 421–426. Li, S.-G. Inverse limits in category L − Top (I)1, Fuzzy Sets and Systems, Vol. 108, 1999, 235–241. Li, S.-G. Inverse limits in category L − Top (II)1, Fuzzy Sets and Systems, Vol. 109, 2000, 291–299. Lopez-Permouth, S. R., D. S. Malik. On categories of fuzzy modules, Information Sciences, Vol. 52, 1990, 211–220. Massey, W. S. Homology and Cohomology theory, New York-Bassel, 1978. Milnor, J. On axiomatic homology theory, Pac. J. Math., Vol. 12, 1962, 337–341. Rosenfeld, A. Fuzzy groups, J. Math. Anal. Appl., Vol. 35, 1971, 512–517. Xu, Z., J. Chen, J. Wu. Clustering algorithm for intuitionistic fuzzy sets, Information Sciences, Vol. 178, 2008, 3775–3790. Zadeh, L. A. Fuzzy sets, Information and Control, Vol. 8, 1965, 338–353. Zahedi, M. M., R. Ameri. Fuzzy exact sequence in category of fuzzy modules, The Journal of Fuzzy Mathematics, Vol. 2, 1994, 409–424. Citations: Issue:Special types of morphisms in the category CR-IFM ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.