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Fuzzy soft set approach to ideal theory of regular AG-groupoids

Feng Feng

Feng Feng

Department of Applied Mathematics, School of Science, Xi'an University of Posts and Telecommunications,Xi'an, China
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Feng, Feng
, 
Madad Khan

Madad Khan

Department of Mathematics, COMSATS Institute of Information Technology,Abbottabad, Pakistan
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Khan, Madad
, 
Violeta Leoreanu-Fotea

Violeta Leoreanu-Fotea

Faculty of Mathematics, “Alexandru Ioan Cuza” University, 700506Iaşi, Romania
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Leoreanu-Fotea, Violeta
, 
Saima Anis

Saima Anis

Department of Mathematics, COMSATS Institute of Information Technology,Abbottabad, Pakistan
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Anis, Saima
 and 
Nadeem Ajaib

Nadeem Ajaib

Department of Mathematics, COMSATS Institute of Information Technology,Abbottabad, Pakistan
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Ajaib, Nadeem
  
Sep 21, 2017
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Published Online: Sep 21, 2017
Page range: 263 - 288
Received: Dec 20, 2014
Accepted: Jan 07, 2015
DOI: https://doi.org/10.1515/auom-2016-0015
Keywords
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

This paper aims to apply fuzzy sets and soft sets in combination to investigate algebraic properties of regular AG-groupoids. We initiate (∈γ; ∈γ qδ)-fuzzy soft left ideals (right ideals, bi-ideals and quasi-ideals) over AG-groupoids and explore some related properties. Moreover, we give a number of characterizations for regular AG-groupoids by virtue of various types of fuzzy soft ideals over them.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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