فهرست مطالب
Iranian journal of fuzzy systems
Volume:9 Issue: 5, Dec 2012
- Special Issue: Fuzzy Mathematics
- تاریخ انتشار: 1391/09/13
- تعداد عناوین: 10
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Page 1In a fuzzy metric space (X;M; ), where is a continuous tnorm, a locally fuzzy contraction mapping is dened. It is proved that any locally fuzzy contraction mapping is a global fuzzy contractive. Also, if f satises the locally fuzzy contractivity condition then it satises the global fuzzy contrac- tivity condition
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Page 7In this paper, the notions of (T; S)-composition matrix and (T; S)- interval-valued intuitionistic fuzzy equivalence matrix are introduced where (T; S) is a dual pair of triangular module. They are the generalization of composition matrix and interval-valued intuitionistic fuzzy equivalence matrix. Furthermore, their properties and characterizations are presented. Then a new method based on ~matrix for clustering is developed. Finally, an example is given to demonstrate our method.
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Page 21. The xed point alternative methods are implemented to give Hyers- Ulam stability for the quintic functional equation f(x + 3y) 5f(x + 2y) + 10f(x+y)10f(x)+5f(xy)f(x2y) = 120f(y) and the sextic functional equation f(x + 3y) 6f(x + 2y) + 15f(x + y) 20f(x) + 15f(x y) 6f(x 2y) + f(x 3y) = 720f(y) in the setting of intuitionistic fuzzy normed spaces (IFN-spaces). This method introduces a metrical context and shows that the stability is related to some xed point of a suitable operator. Furthermore, the interdisciplinary relation among the fuzzy set theory, the theory of intu- itionistic spaces and the theory of functional equations are also presented in the paper
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Page 41The aim of this paper is to introduce (L;M)-fuzzy closure structure where L and M are strictly two-sided, commutative quantales. Firstly, we dene (L;M)-fuzzy closure spaces and get some relations between (L;M)- double fuzzy topological spaces and (L;M)-fuzzy closure spaces. Then, we introduce initial (L;M)-fuzzy closure structures and we prove that the category (L;M)-FC of (L;M)-fuzzy closure spaces and (L;M)-C-maps is a topological category over the category SET. From this fact, we dene products of (L;M)-fuzzy closure spaces. Finally, we show that an initial structure of (L;M)-double fuzzy topological spaces can be obtained by the initial structure of (L;M)-fuzzy closure spaces induced by them
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Page 63In this paper, the concept of intuitionistic fuzzy mapping as a gen- eralization of fuzzy mapping is presented, and its'' relationship with intuitionis- tic fuzzy relations is derived. Moreover, some basic operations of intuitionistic fuzzy mappings are dened, hence we can conclude that all of intuitionistic fuzzy mappings constitute a soft algebra with respect to these operations. Af- terwards, the Atanassov''s operator is applied to intuitionistic fuzzy mappings and the corresponding properties are examined. Finally, the decomposition and representation theorems of intuitionistic fuzzy mappings are established.
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Page 77In this paper, we introduce a new class of implicit functions and also common property (E.A) in modied intuitionistic fuzzy metric spaces and utilize the same to prove some common xed point theorems in modied intu- itionistic fuzzy metric spaces besides discussing related results and illustrative examples. We are not aware of any paper dealing with such implicit functions in modied intuitionistic fuzzy metric spaces.
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Page 93The notion of generalized locally bounded I-topological vector spaces is introduced. Some of their important properties are studied. The relationship between this kind of spaces and the locally bounded I-topological vector spaces introduced by Wu and Fang [Boundedness and locally bounded fuzzy topological vector spaces, Fuzzy Math. 5 (4) (1985) 8794] is discussed. Moreover, we also use the family of generalized fuzzy quasi-norms to char- acterize the generalized locally bounded I-topological vector spaces, and give some applications of this characterization.
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Page 105In this paper, the new notions of \belongingness (2) «and \quasicoincidence (q)» of a fuzzy point with a fuzzy set are introduced. By means of this new idea, the concept of (;) -fuzzy n-ary subhypergroup of an n- ary hypergroup is given, where; 2 f2; q; 2 ^q; 2 _q g, and it is shown that, in 16 kinds of (;) -fuzzy n-ary subhypergroups, the signicant ones are the (2; 2) -fuzzy n-ary subhypergroups, (2; 2 _q) -fuzzy n-ary subhypergroups and the (2 ^q; 2) -fuzzy n-ary subhypergroups.
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Page 125In this paper, we introduce and study a mixed variational inclusion problem involving innite family of fuzzy mappings. An iterative algorithm is constructed for solving a mixed variational inclusion problem involving innite family of fuzzy mappings and the convergence of iterative sequences generated by the proposed algorithm is proved. Some illustrative examples are also given.
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Page 137The aim of this paper is to give the set of all t-best approximations on fuzzy n-normed spaces and prove some theorems in the sense of Vaezpour and Karimi [13].