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The Unbounded Fuzzy Order Convergence in Fuzzy Riesz Spaces

Mobashir Iqbal, M. G. Abbas Malik, Yasir Bashir, Zia Bashir
2019 Symmetry
The aim of this paper is to define and study unbounded fuzzy order convergence and some of its applications.  ...  The fuzzy order convergence in fuzzy Riesz spaces is defined only for fuzzy order bounded nets.  ...  Acknowledgments: The authors would like to thank the editors and the anonymous reviewers, whose insightful comments and constructive suggestions helped us to significantly improve the quality of this paper  ...

Page 2794 of Mathematical Reviews Vol. , Issue 90E [page]

1990 Mathematical Reviews
(G4) If for each m € D the fuzzy net S” converges (G) to e, then the induced net, with respect to D and S”, converges (G) to e.  ...  If E< 7 (i.e. 9 is a topological subnet of €), then there exists an F-net é:(K,<") + # which is an F-subnet ofand is topologically equivalent to 7. O.  ...

Approximate solutions of dual fuzzy polynomials by feed-back neural networks

2012 Journal of Soft Computing and Applications
Due to the application of gradient descent learning, this method presents a rapid convergence for the solutions. The approach is simulated in MATLAB.  ...  n. (2.9) • The third hidden units: O 3 = g 1 (net 3 ), net 3 = n ∑ j=1 a j .O 2j , (2.10) and . .., a n ) and B = (b 1 , ..., b n ) are fuzzy input vectors and w j is a crisp weight.  ...

On some applications of fuzzy points

Maximilian Ganster, D.N. Georgiou, S. Jafari, S.P. Moshokoa
2005 Applied General Topology
The purpose of this paper is to give some applications of fuzzy points in fuzzy topological spaces.  ...  Finally in section 4, we introduce the fuzzy pre-continuous convergence on the set of fuzzy pre-continuous functions and give a characterization of the fuzzy pre-continuous convergence through the assistance  ...  Also, the authors thank the referee for making several suggestions which improved the quality of this paper.  ...

A Notion of Convergence in Fuzzy Partially Ordered Sets

Dimitrios Georgiou, Athanasios Megaritis, Georgios Prinos
2020 Mathematics
Our aim in this paper is to introduce and study a notion of net convergence, with respect to the fuzzy order relation, named o-convergence, which generalizes the former notion and is also closer to our  ...  The notion of sequential convergence in fuzzy partially ordered sets, under the name oF-convergence, is well known.  ...  Conflicts of Interest: The authors declare no conflict of interest.  ...

Concerning the constants in fuzzy topology

R. Lowen, P. Wuyts
1988 Journal of Mathematical Analysis and Applications
If however we look at the same sequence and associated pretilter in (X, o(Y)) then we find for net convergence that 'I n -" converges to no fuzzy point ~1~ and for filter convergence that lim 3 = 0.  ...  of a given net and depending on this net  ...

Solving fully fuzzy polynomials using feed-back neural networks

Ahmad Jafarian, Raheleh Jafari, Alireza Khalili Golmankhaneh, Dumitru Baleanu
2014 International Journal of Computer Mathematics
It is worthwhile to mention that application of this method in fluid mechanics has been shown by an example.  ...  With this design, we are able to find a solution of fully fuzzy polynomial with degree n. This neural network can get a fuzzy vector as an input, and calculates its corresponding fuzzy output.  ...  ., n. (27) Convergence analysis For the convergence analysis of FNN3 (it is the general case of FNN) it is sufficient to show that the neural network is Universal approximators.  ...

Page 5522 of Mathematical Reviews Vol. , Issue 99h [page]

1999 Mathematical Reviews
In doing so, we notice that our present notion of net convergence, in addition to Katsaras and Papageorgeou net convergence, is generalized sequential convergence.  ...  (BNG-DHK;; Dhaka) Net-convergence in fuzzy neighborhood spaces. (English summary) Fuzzy Sets and Systems 101 (1999), no. 1, 197-203.  ...

Compactness of Soft Fuzzy Metric Space

2020 Journal of Southwest Jiaotong University
The purpose of this work is to present the concepts of a compact soft fuzzy metric space and totally fuzzy bounded space.  ...  The definition of a soft fuzzy metric space is first listed with its basic important properties.  ...  If is compact, then it is totally fuzzy bounded. Proof: Assume that is compact. Then, for any , and radius , the collection of all balls is an open cover of .  ...

Page 6916 of Mathematical Reviews Vol. , Issue 97K [page]

1997 Mathematical Reviews
nets of 1 -fuzzy sets and its applications.  ...  Summary: “In this paper, the theory of #-convergence on nets of L-fuzzy sets, which is a generalization of the convergence theory of fuzzy nets introduced by Sarma and Ajmal, is established.  ...

Page 5900 of Mathematical Reviews Vol. , Issue 88k [page]

1988 Mathematical Reviews
Math. 18 (1975), 117-122; MR 54 #6056] is introduced and investigated in the fuzzy setting. As an application, a further result on the relation between fuzzy nets and fuzzy filters [the author, An.  ...  The authors introduce the concept of a fuzzy feebly continuous function and investigate several of its simple properties.  ...

Fuzzyθ-closure operator on fuzzy topological spaces

M. N. Mukherjee, S. P. Sinha
1991 International Journal of Mathematics and Mathematical Sciences
As applications of these concepts, certain functions as well as some spaces satisfying certain fuzzy separation axioms are characterized in terms of fuzzyθ-closures andδ-closures.  ...  The paper contains a study of fuzzyθ-closure operator,θ-closures of fuzzy sets in a fuzzy topological space are characterized and some of their properties along with their relation with fuzzyδ-closures  ...  A fuzzy point x [A]o iff there exists a fuzzy net in A, O-converging to such that it O-converges to z,. Converse is straightforwardVeven if z, is a O-cluster point of the fuzzy net in A. 3.  ...

Application of ANNs approach for solving fully fuzzy polynomials system

R. Novin, M. A. Fariborzi Araghi, M. Amirfakhrian
2017 Journal of Fuzzy Set Valued Analysis
In processing indecisive or unclear information, the advantages of fuzzy logic and neurocomputing disciplines should be taken into account and combined by fuzzy neural networks.  ...  The experimental results obtained from the investigation of the proposed method are valid and delivers very good approximation results.  ...  vector and each of its corresponding fuzzy target vector, Ishibuchi et al  ...

Page 9138 of Mathematical Reviews Vol. , Issue 2002M [page]

2002 Mathematical Reviews
As an application, we look into the behavior of Cauchy-nets on Burton’s fuzzy uniformization of function spaces and then finally study some results on fuzzy neighborhood groups, linear spaces, rings and  ...  Summary: “The motive behind this article is to introduce the notion of Cauchy-nets in Lowen fuzzy uniform spaces and to study its impact on some of the fuzzy uniformizable spaces.  ...

A model reference control structure using a fuzzy neural network

Yie-Chien Chen, Ching-Cheng Teng
1995 Fuzzy sets and systems (Print)
Adaptive learning rates for both the FNNC and FNNI are guaranteed to converge by a Lyapunov function.  ...  Knowledge of rules is explicitly encoded in the weights of the proposed network and inferences are executed efficiently at high rate. Two fuzzy neural networks are utilized in the control structure.  ...  Combining fuzzy logic and neural network computing appears to be a feasible way of dealing with real-time applications. Fig. 1 . 1 Schematic diagram of a fuzzy neural network.  ...
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