The Experts below are selected from a list of 10164 Experts worldwide ranked by ideXlab platform
Przemyslaw Grzegorzewski - One of the best experts on this subject based on the ideXlab platform.
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distances between intuitionistic fuzzy sets and or interval valued fuzzy sets based on the Hausdorff Metric
Fuzzy Sets and Systems, 2004Co-Authors: Przemyslaw GrzegorzewskiAbstract:New methods for measuring distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets, based on the Hausdorff Metric, are suggested. The proposed new distances are straightforward generalizations of the well known Hamming distance, the Euclidean distance and their normalized counterparts.
Li Guan - One of the best experts on this subject based on the ideXlab platform.
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A weak law of large numbers for the sequence of uncorrelated fuzzy random variables
2021Co-Authors: Li Guan, Zhang Jinping, Zhou JiemingAbstract:We shall prove a weak law of large numbers for the uncorrelated (see Definition 3.1) fuzzy random variable sequence with respect to the uniform Hausdorff Metric $d_H^{\infty}$, which is an extension of weak law of large numbers for independent fuzzy random variables.Comment: 9 page
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laws of large numbers for weighted sums of fuzzy set valued random variables
International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 2004Co-Authors: Li GuanAbstract:In this paper, we shall present weak and strong laws of large numbers (WLLN's and SLLN's) for weighted sums of independent (not necessarily identically distributed) fuzzy set-valued random variables in the sense of the extended Hausdorff Metric , based on the result of set-valued random variable obtained by Taylor and Inoue32,33. This work is a continuation of Li and Ogura20.
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strong and weak laws of large numbers for weighted sums of fuzzy set valued random variables
2004Co-Authors: Li GuanAbstract:In this paper, we shall present weak and strong laws of large numbers (WLLN and SLLN) for weighted sums of independent (not necessarily identically distributed) fuzzy set-valued random variables in the sense of the extended Hausdorff Metric d H ∞ , based on the results of set-valued random variable obtained by Taylor and Inoue [34], [35]. This work is a continuation of [21].
Lan Shu - One of the best experts on this subject based on the ideXlab platform.
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supremum Metric on the space of fuzzy sets and common fixed point theorems for fuzzy mappings
Information Sciences, 2008Co-Authors: Dong Qiu, Lan ShuAbstract:This paper generalizes a classical result about the space of bounded closed sets with the Hausdorff Metric, and establishes the completeness of CB(X) with respect to the completeness of the Metric space X, where CB(X) is the class of fuzzy sets with nonempty bounded closed @a-cut sets, equipped with the supremum Metric d"~ which takes the supremum on the Hausdorff distances between the corresponding @a-cut sets. In addition, some common fixed point theorems for fuzzy mappings are proved and two examples are given to illustrate the validity of the main results in fixed point theory.
Hassen Aydi - One of the best experts on this subject based on the ideXlab platform.
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Some set-valued and multi-valued contraction results in fuzzy cone Metric spaces
'Springer Science and Business Media LLC', 2021Co-Authors: Saif Ur Rehman, Hassen Aydi, Gui-xiu Chen, Shamoona Jabeen, Sami Ullah KhanAbstract:Abstract This paper aims to present the concept of multi-valued mappings in fuzzy cone Metric spaces and prove some basic lemmas, a Hausdorff Metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction mappings. We prove a fixed point theorem for multi-valued rational type fuzzy cone-contractions in fuzzy cone Metric spaces. Our results extend and improve some results given in the literature
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On Multivalued Fuzzy Contractions in Extended b-Metric Spaces
'Hindawi Limited', 2021Co-Authors: Nayab Alamgir, Hassen Aydi, Quanita Kiran, Yaé Ulrich GabaAbstract:In this paper, we establish a Hausdorff Metric over the family of nonempty closed subsets of an extended b-Metric space. Thereafter, we introduce the concept of multivalued fuzzy contraction mappings and prove related α-fuzzy fixed point theorems in the context of extended b-Metric spaces that generalize Nadler’s fixed point theorem as well as many preexisting results in the literature. Further, we establish α-fuzzy fixed point theorems for Ćirić type fuzzy contraction mappings as a generalization of previous results. Moreover, we give some examples to support the obtained results
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a suzuki type unique common fixed point theorem for hybrid pairs of maps under a new condition in partial Metric spaces
mathematical sciences, 2013Co-Authors: K P R Rao, Hassen Aydi, Kpk RaoAbstract:In this paper, we introduce a new condition namely, the (W.C.C) condition and give some Suzuki-type, unique, common fixed-point theorems for pairs of hybrid mappings in partial Metric spaces using a partial Hausdorff Metric. These results generalize and extend the several comparable results in this literature in Metric and partial Metric spaces. 2000 MSC: 47H10, 54H25
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partial Hausdorff Metric and nadlerʼs fixed point theorem on partial Metric spaces
Topology and its Applications, 2012Co-Authors: Hassen Aydi, Mujahid Abbas, Calogero VetroAbstract:Abstract In this paper, we introduce the concept of a partial Hausdorff Metric. We initiate study of fixed point theory for multi-valued mappings on partial Metric space using the partial Hausdorff Metric and prove an analogous to the well-known Nadlerʼs fixed point theorem. Moreover, we give a homotopy result as application of our main result.
Dong Qiu - One of the best experts on this subject based on the ideXlab platform.
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supremum Metric on the space of fuzzy sets and common fixed point theorems for fuzzy mappings
Information Sciences, 2008Co-Authors: Dong Qiu, Lan ShuAbstract:This paper generalizes a classical result about the space of bounded closed sets with the Hausdorff Metric, and establishes the completeness of CB(X) with respect to the completeness of the Metric space X, where CB(X) is the class of fuzzy sets with nonempty bounded closed @a-cut sets, equipped with the supremum Metric d"~ which takes the supremum on the Hausdorff distances between the corresponding @a-cut sets. In addition, some common fixed point theorems for fuzzy mappings are proved and two examples are given to illustrate the validity of the main results in fixed point theory.
