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Operators, fuzzy operators and Pawlak’s approximations in operators

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Abstract

The aim of this research work is to define a new class of multialgebras that are left(right) operators and fuzzy operators and related properties are investigated. They are a generalization of semihypergroups and semigroups. With this concept we can connect a non-empty set to a semihypergroup. Also, the concepts of the lower and upper approximations of left(right) operators are introduced and some results are obtained.

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Authors and Affiliations

  1. Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran

    S. Ostadhadi-Dehkordi

  2. Department of Mathematics and Computer Science, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra, Albania

    K. Hila

Authors
  1. S. Ostadhadi-Dehkordi
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  2. K. Hila
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Correspondence to S. Ostadhadi-Dehkordi.

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Ostadhadi-Dehkordi, S., Hila, K. Operators, fuzzy operators and Pawlak’s approximations in operators. Afr. Mat. 32, 1211–1225 (2021). https://doi.org/10.1007/s13370-021-00894-6

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  • DOI: https://doi.org/10.1007/s13370-021-00894-6

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