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Vague soft hemirings
Authors:Yunqiang Yin  Young Bae Jun
Affiliation:
  • a Key Laboratory of Radioactive Geology and Exploration Technology, Fundamental Science for National Defense, East China Institute of Technology, Fuzhou, Jiangxi 344000, China
  • b School of Mathematics and Information Sciences, East China Institute of Technology, Fuzhou, Jiangxi 344000, China
  • c Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea
  • d Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province 445000, China
  • Abstract:Xu et al. introduced the concept of vague soft sets, which is an extension to the soft set and the vague set. In this paper, we apply the concept of vague soft sets to hemiring theory. The notion of (∈,∈∨q)-vague (soft) left h-ideals of a hemiring is introduced and some related properties are investigated.
    Keywords:Hemiring   Vague set   Vague soft set     mmlsi3"   class="  mathmlsrc"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0898122111003701&  _mathId=si3.gif&  _pii=S0898122111003701&  _issn=08981221&  _acct=C000054348&  _version=1&  _userid=3837164&  md5=73a0ca7105067123d4c94d68772aed8b')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >(&isin  ,&isin  &or  q)-vague (soft) left   mmlsi4"   class="  mathmlsrc"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0898122111003701&  _mathId=si4.gif&  _pii=S0898122111003701&  _issn=08981221&  _acct=C000054348&  _version=1&  _userid=3837164&  md5=c2b57671a39ec22a8866fa75c017c46b')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >h-ideals     mmlsi5"   class="  mathmlsrc"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0898122111003701&  _mathId=si5.gif&  _pii=S0898122111003701&  _issn=08981221&  _acct=C000054348&  _version=1&  _userid=3837164&  md5=bc68992de0bc3d7d0bb0c2c7625bb0d1')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >φ-compatible   mmlsi6"   class="  mathmlsrc"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0898122111003701&  _mathId=si6.gif&  _pii=S0898122111003701&  _issn=08981221&  _acct=C000054348&  _version=1&  _userid=3837164&  md5=6b7e8c8524f0920761a0043bad862b19')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >(&isin  ,&isin  &or  q)-vague (soft) left   mmlsi7"   class="  mathmlsrc"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0898122111003701&  _mathId=si7.gif&  _pii=S0898122111003701&  _issn=08981221&  _acct=C000054348&  _version=1&  _userid=3837164&  md5=1e0366d2f980312cfb849709fb16b23c')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >h-ideals
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