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Generalized Lower and Upper Approximations in Quantales

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  • Qimei Xiao
  • Qingguo Li

Abstract

We introduce the concepts of set-valued homomorphism and strong set-valued homomorphism of a quantale which are the extended notions of congruence and complete congruence, respectively. The properties of generalized lower and upper approximations, constructed by a set-valued mapping, are discussed.

Suggested Citation

  • Qimei Xiao & Qingguo Li, 2012. "Generalized Lower and Upper Approximations in Quantales," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-11, February.
    • Handle: RePEc:hin:jnljam:648983
    DOI: 10.1155/2012/648983
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    Cited by:

    1. Saqib Mazher Qurashi & Muhammad Shabir, 2018. "Generalized Rough Fuzzy Ideals in Quantales," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-11, January.

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