TY - JOUR AU - Asghari-Larimi, M. PY - 2011 TI - Homomorphism ff Intuitionistic \((\alpha, \beta)\)-fuzzy \(H_v\)- Submodule JO - Journal of Mathematics and Computer Science SP - 287--300 VL - 3 IS - 3 AB - The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. Using the notion of ”belongingness (\(\in\)) ” and ”quasi-coincidence (q) ” of fuzzy points with fuzzy sets, we introduce the concept of an intuitionistic \((\alpha, \beta)\)-fuzzy \(H_v\)-submodule of an \(H_v\)-modules, where \(\alpha\in \{\in , q\},\beta\in\{\in,q,\in\vee q,\in\wedge q\}\) . The concept of a homomorphism of intuitionistic \((\alpha, \beta)\)-fuzzy \(H_v\)-submodule is considered, and some interesting properties are investigated. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.03.03.02 DO - 10.22436/jmcs.03.03.02 ID - Asghari-Larimi2011 ER - TY - JOUR TI - Hyperstructures associated to arithmetic functions AU - M. Asghari-Larimi AU - B. Davvaz JO - Ars Combitoria PY - 2010 DA - 2010// VL - 97 ID - Asghari-Larimi2010 ER - TY - JOUR TI - Intuitionistic fuzzy sets AU - K. T. Atanassov JO - Fuzzy Sets and Systems PY - 1986 DA - 1986// VL - 20 ID - Atanassov1986 ER - TY - JOUR TI - Two operators on intuitionistic fuzzy sets AU - K. T. Atanassov JO - Comptes rendus de l’Academi buloare des Sciences, Tome PY - 1988 DA - 1988// VL - 41 ID - Atanassov1988 ER - TY - JOUR TI - New operations defined over the intuitionistic fuzzy sets AU - K. T. Atanassov JO - Fuzzy Sets and Systems PY - 1994 DA - 1994// VL - 61 ID - Atanassov1994 ER - TY - JOUR TI - More on intuitionistic fuzzy sets AU - K. T. Atanassov JO - Fuzzy Sets and Systems PY - 1989 DA - 1989// VL - 33 ID - Atanassov1989 ER - TY - BOOK TI - Intuitionistic Fuzzy Sets: Theory and Applications AU - K. T. Atanassov PB - Physica-Verlag PY - 1999 DA - 1999// CY - New York ID - Atanassov1999 ER - TY - JOUR TI - Intuitionistic fuzzy subgroups AU - R. Biswas JO - Math. Forum PY - 1989 DA - 1989// VL - 10 ID - Biswas1989 ER - TY - JOUR TI - \((\in\vee q)\) -level subset AU - S. K. Bhakat JO - Fuzzy Sets and Systems PY - 1999 DA - 1999// VL - 103 ID - Bhakat1999 ER - TY - JOUR TI - On the definition of a fuzzy subgroup AU - S. K. Bhakat AU - P. Das JO - Fuzzy Sets and Systems PY - 1992 DA - 1992// VL - 51 ID - Bhakat1992 ER - TY - JOUR TI - \((\in,\in\vee q)\)-fuzzy subgroups AU - S. K. Bhakat AU - P. Das JO - Fuzzy Sets and Systems PY - 1996 DA - 1996// VL - 80 ID - Bhakat1996 ER - TY - JOUR TI - Fuzzy subrings and ideals redefined AU - S. K. Bhakat AU - P. Das JO - Fuzzy Sets and Systems PY - 1996 DA - 1996// VL - 81 ID - Bhakat1996 ER - TY - JOUR TI - Construction theorems for intuitionistic fuzzy sets AU - P. Burillo AU - H. Bustince JO - Fuzzy Sets and Systems PY - 1996 DA - 1996// VL - 84 ID - Burillo1996 ER - TY - JOUR TI - Structures on intuitionistic fuzzy relations AU - H. Bustince AU - P. Burillo JO - Fuzzy Sets and Systems PY - 1996 DA - 1996// VL - 78 ID - Bustince1996 ER - TY - JOUR TI - A new connection between hypergroups and fuzzy sets. Southeast AU - P. Corsini JO - Asian Bull. Math. PY - 2003 DA - 2003// VL - 27 ID - Corsini 2003 ER - TY - BOOK TI - Prolegomena of hypergroup theory AU - P. Corsini PB - Aviani editore PY - 1993 DA - 1993// CY - Italy ID - Corsini1993 ER - TY - BOOK TI - Join spaces, power sets, fuzzy sets, Algebraic hyperstructures and applications AU - P. Corsini PB - Hadronic Press PY - 1994 DA - 1994// CY - Palm Harbor ID - Corsini 1994 ER - TY - BOOK TI - Applications of hyperstructure theory AU - P. Corsini AU - V. Leoreanu PB - Kluwer Academic Publishers PY - 2003 DA - 2003// CY - Dordrecht ID - Corsini2003 ER - TY - JOUR TI - Atanassovs intuitionistic fuzzy grade of hypergroups AU - I. Cristea AU - B. Davvaz JO - Inform. Sci. PY - 2010 DA - 2010// VL - 180 ID - Cristea2010 ER - TY - JOUR TI - Fuzzy \(H_v\) -submodules AU - B. Davvaz JO - Fuzzy Sets and Systems PY - 2001 DA - 2001// VL - 117 ID - Davvaz2001 ER - TY - JOUR TI - \((\in,\in\vee q)\)-fuzzy subnearrings and ideals AU - B. Davvaz JO - Soft Computing PY - 2006 DA - 2006// VL - 10 ID - Davvaz2006 ER - TY - JOUR TI - \((\alpha, \beta)\)-Fuzzy \(H_v\)-Ideals of \(H_v\)-Rings AU - B. Davvaz AU - P. Corsini JO - Iranian Journal of Fuzzy Systems PY - 2008 DA - 2008// VL - 5 ID - Davvaz2008 ER - TY - BOOK TI - Hyperring theory and Applications AU - B. Davvaz AU - V. Leoreanu-Fotea PB - International Academic Press PY - 2007 DA - 2007// CY - U.S.A. ID - Davvaz2007 ER - TY - JOUR TI - Intuitionistic fuzzy \(H_v\)-submodules AU - B. Davvaz AU - W. A. Dudek AU - Y. B. Jun JO - Inform. Sci. PY - 2006 DA - 2006// VL - 176 ID - Davvaz2006 ER - TY - JOUR TI - On intuitionistic fuzzy sub-hyperquasigroups of hyperquasigroups AU - W. A. Dudek AU - B. Davvaz AU - Y. B. Jun JO - Inform. Sci. PY - 2005 DA - 2005// VL - 170 ID - Dudek2005 ER - TY - JOUR TI - Generalized fuzzy interior ideals in semigroups AU - Y. B. Jun AU - S. Z. Song JO - Inform. Sci. PY - 2006 DA - 2006// VL - 176 ID - Jun2006 ER - TY - JOUR TI - Sur une generalization de la notion de groupe AU - F. Marty JO - 8th congress Math. Scandinaves PY - 1934 DA - 1934// VL - 1934 ID - Marty1934 ER - TY - JOUR TI - Fuzzy topology I: Neighourhood structure of a fuzzy point and Moore-Smith convergence AU - P. M. Pu AU - Y. M. Liu JO - J. Math. Anal. Appl. PY - 1980 DA - 1980// VL - 76 ID - Pu1980 ER - TY - JOUR TI - Characterizations of regular semigroups by \((\alpha, \beta)\)-fuzzy ideals AU - M. Shabir AU - Y. B. Jun AU - Y. Nawaz JO - Computers and Mathematics with Applications PY - 2010 DA - 2010// VL - 59 ID - Shabir2010 ER - TY - BOOK TI - Hyperstructures and their representations AU - T. Vougiouklis PB - Hadronic Press PY - 1994 DA - 1994// CY - Palm Harber ID - Vougiouklis1994 ER - TY - JOUR TI - On the definition of the intuitionistic fuzzy subgroups AU - X. H. Yuan AU - H. X. Li AU - E. S. Lee JO - Computers and Mathematics with Applications PY - 2010 DA - 2010// VL - 59 ID - Yuan2010 ER - TY - JOUR TI - Fuzzy Sets AU - L. A. Zadeh JO - Information and Control PY - 1965 DA - 1965// VL - 8 ID - Zadeh1965 ER -