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Signed \(\lambda \)-Measures on Effect Algebras

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Abstract

The concepts of \(\lambda \)-measures and signed \(\lambda \)-measures (nonadditive measures) defined on effect algebras are introduced and investigated in this paper. A few examples of \(\lambda \)-measures and signed \(\lambda \)-measures are also given. Moreover, the Jordan decomposition theorem for signed \(\lambda \)-measures defined on effect algebras is also presented.

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Authors and Affiliations

  1. Kamla Nehru Institute of Technology, Sultanpur, UP, 228118, India

    Akhilesh Kumar Singh

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  1. Akhilesh Kumar Singh
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Correspondence to Akhilesh Kumar Singh.

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Singh, A.K. Signed \(\lambda \)-Measures on Effect Algebras. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 89, 729–735 (2019). https://doi.org/10.1007/s40010-018-0510-x

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  • DOI: https://doi.org/10.1007/s40010-018-0510-x

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