﻿<?xml version="1.0" encoding="UTF-8"?>
<records>
  <record>
    <language>eng</language>
    <publisher>Science and Education Publishing</publisher>
    <journalTitle>Journal of Mathematical Sciences and Applications</journalTitle>
    <eissn>2333-8792</eissn>
    <publicationDate>2017-07-19</publicationDate>
    <volume>5</volume>
    <issue>1</issue>
    <startPage>24</startPage>
    <endPage>26</endPage>
    <doi>10.12691/jmsa-5-1-4</doi>
    <publisherRecordId>JMSA2017514</publisherRecordId>
    <documentType>article</documentType>
    <title language="eng">The Number of Fuzzy Clopen Sets in Fuzzy Topological Spaces</title>
    <authors>
      <author>
        <name>Ali Ahmad Ali Fora</name>
        <email>afora_jo@yahoo.com</email>
        <affiliationId>1</affiliationId>
      </author>
    </authors>
    <affiliationsList>
      <affiliationName affiliationId="1">Department of Mathematics, Yarmok University, Irbid, Jordan</affiliationName>
    </affiliationsList>
    <abstract language="eng">We show the number of fuzzy clopen sets in an arbitrary fuzzy topological space can be any natural number greater than 1 if it is finite. We give an upper bound for this number. We shall also prove that the number of all crisp fuzzy clopen sets in an arbitrary fuzzy topological space is a power of 2 if it is finite.</abstract>
    <fullTextUrl format="pdf">http://pubs.sciepub.com/jmsa/5/1/4/jmsa-5-1-4.pdf</fullTextUrl>
    <keywords language="eng">
      <keyword>clopen</keyword>
      <keyword>enumerating</keyword>
      <keyword>finite set</keyword>
      <keyword>fuzzy clopen</keyword>
    </keywords>
  </record>
</records>