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\(n\)-Fold filters of MTL-algebras

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Abstract

In this paper, we define \(n\)-fold EIMTL and \(n\)-fold IMTL-filters of MTL-algebras and investigate some relations between these filters and \(n\)-fold (positive) implicative filters, \(n\)-fold fantastic filters and \(n\)-fold obstinate filters of MTL-algebras. Also, we investigate under what conditions the \(n\)-fold implicative MTL-algebra is the \(n\)-fold positive implicative MTL-algebra.

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Notes

  1. Extended involutive monoidal \(t\)-norm logic filter.

  2. Involutive monoidal \(t\)-norm logic filter.

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Authors and Affiliations

  1. Department of Mathematics, Shahid Beheshti University, G.C., Evin, Tehran, Iran

    O. Zahiri

  2. Department of Computer Science, Shahid Beheshti University, G.C., Evin, Tehran, Iran

    H. Farahani

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  1. O. Zahiri
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  2. H. Farahani
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Correspondence to O. Zahiri.

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Zahiri, O., Farahani, H. \(n\)-Fold filters of MTL-algebras. Afr. Mat. 25, 1165–1178 (2014). https://doi.org/10.1007/s13370-013-0184-0

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  • DOI: https://doi.org/10.1007/s13370-013-0184-0

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