TITLE

On the Classical Sets of Sequences with Fuzzy b-Metric

AUTHOR(S)
Kadak, Uğur
PUB. DATE
July 2014
SOURCE
General Mathematics Notes;Jul2014, Vol. 23 Issue 1, p89
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Since the utilization of Zadeh's Extension Principle is quite difficult in practice, we prefer the idea of using the sum of the series of level sets. In this paper we present some classical sets of sequences of fuzzy numbers with respect to the notion of fuzzy b-metric. Also, we introduce the completeness of such spaces and derive the relationships between these sets and their classical forms. In addition, we use our results corresponding with series not only directly improve and generalize some results in metric spaces and b-metric spaces, and also expand and complement some previous results in fuzzy metric spaces with the level sets.
ACCESSION #
98391658

 

Related Articles

  • Fuzzy model tuning based on a training set with fuzzy model output values. S. Shtovba // Cybernetics & Systems Analysis;May2007, Vol. 43 Issue 3, p334 

    Abstract  The paper considers the training of a fuzzy model with the help of a training set with fuzzy model output values. Two ways are proposed for constructing fuzzy rule-based multifactor models that produce fuzzy numbers at their outputs. The problem of tuning such fuzzy models on the...

  • A NOTE ON REGULAR MULTI-DISTANCES BETWEEN FUZZY NUMBERS. Molinari, Franco // Advances in Fuzzy Sets & Systems;Aug2013, Vol. 15 Issue 2, p85 

    We consider the family of multi-argument functions called multidistances, which capture the idea of distance for collections of more than two points in a metric space. Usually, multi-distances are defined among crisp objects. In this note, we propose a multi-distance defined between fuzzy...

  • Almost ideal statistical convergence and strongly almost ideal lacunary convergence of sequences of fuzzy numbers with respect to the Orlicz functions. Zeng-tai Gong; Xiao-xia Liu; Xue Feng // Journal of Computational Analysis & Applications;Jul2015, Vol. 19 Issue 1, p418 

    The purpose of this paper is to introduce the concepts of almost ideal lacunary statistical convergence (almost ideal statistical convergence) and strongly almost ideal lacunary convergence (strongly almost ideal convergence). we give some relations betweeen these concepts. At the same time,...

  • An Approach to Centroids of Fuzzy Numbers. Shieh, Bih-Sheue // International Journal of Fuzzy Systems;Mar2007, Vol. 9 Issue 1, p51 

    The paper considers the centroids of fuzzy numbers in the general condition. It suggests a pair of formulae for determining the centroid of a fuzzy number. The proposed formulae are correct in the sense described by Wangs' paper. They are available for all fuzzy numbers and can be applied to...

  • A type of fuzzy ring. Aktas, Haci; �agman, Naim // Archive for Mathematical Logic;Apr2007, Vol. 46 Issue 3/4, p165 

    In this study, by the use of Yuan and Lee�s definition of the fuzzy group based on fuzzy binary operation we give a new kind of fuzzy ring. The concept of fuzzy subring, fuzzy ideal and fuzzy ring homomorphism are introduced, and we make a theoretical study their basic properties analogous...

  • Another Method for Defuzzification Based on Regular Weighted Point. Saneifard, R. // International Journal of Industrial Mathematics;2012, Vol. 4 Issue 2, p147 

    A new method for the defuzzification of fuzzy numbers is developed in this paper. It is well-known, defuzzification methods allow us to find aggregative crisp numbers or crisp set for fuzzy numbers. But different fuzzy numbers are often converted into one crisp number. In this case the loss of...

  • A New Objective Weight on Interval Type-2 Fuzzy Sets. Z., Nurnadiah; A., Lazim // World Academy of Science, Engineering & Technology;Aug2011, Issue 56, p1194 

    The design of weight is one of the important parts in fuzzy decision making, as it would have a deep effect on the evaluation results. Entropy is one of the weight measure based on objective evaluation. Non--probabilistic-type entropy measures for fuzzy set and interval type-2 fuzzy sets (IT2FS)...

  • Solution of the Fuzzy Equation A + X = B Using the Method of Superimposition. Mazarbhuiya, Fokrul Alom; Mahanta, Anjana Kakoti; Baruah, Hemanta K. // Applied Mathematics;Aug2011, Vol. 2 Issue 8, p1039 

    Fuzzy equations were solved by using different standard methods. One of the well-known methods is the method of α-cut. The method of superimposition of sets has been used to define arithmetic operations of fuzzy numbers. In this article, it has been shown that the fuzzy equation A+X=B, where...

  • Rough Fuzzy Distance of the Rough Fuzzy Number. Jiang Jinsong; Gao Youwu // Studies in Mathematical Sciences;2/29/2012, Vol. 4 Issue 1, p30 

    Rough sets theory and fuzzy sets theory research the unperfect problem in information systems. the combination of them formed Rough fuzzy sets and Rough Fuzzy number in this paper, defines the Rough fuzzy distance of the Rough fuzzy number. Then it discusses the nature of Rough fuzzy distance.

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics