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On quotient BF-algebras via interval-valued intuitionistic fuzzy ideals

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Abstract

The present paper gives a new construction of a quotient BF-algebra \( {\raise0.5ex\hbox{$\scriptstyle X$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle I$}} \) by an interval-valued intuitionistic fuzzy ideal I in BF-algebra X, we show that if I is a interval-valued intuitionistic fuzzy ideal of BF-algebra X, then \( {\raise0.5ex\hbox{$\scriptstyle X$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle I$}} \) is a BF-algebra if and only if I is an interval-valued intuitionistic fuzzy ideal of BF-algebra X and investigate some of its properties.

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Authors and Affiliations

  1. Department of Mathematics, K.L.E.F, Vaddeswaram, Guntur, Andhra Pradesh, 522502, India

    D. Ramesh & N. Srimannarayana

  2. Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur, Andhra Pradesh, 522 510, India

    B. Satyanarayana

Authors
  1. D. Ramesh
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  2. B. Satyanarayana
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  3. N. Srimannarayana
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Correspondence to D. Ramesh.

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Ramesh, D., Satyanarayana, B. & Srimannarayana, N. On quotient BF-algebras via interval-valued intuitionistic fuzzy ideals. J Anal 27, 151–160 (2019). https://doi.org/10.1007/s41478-018-0111-8

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  • DOI: https://doi.org/10.1007/s41478-018-0111-8

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