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Toward a Definite Integral of a Z-Number-Valued Function

  • O. H. HuseynovEmail author
Conference paper
First Online:
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1095)

Abstract

Z-number-valued function analysis is a new direction of studies on processing of information characterized by fuzziness and probabilistic uncertainty. Differentiability and integrability are among the related key problems. In this paper, we made a first step toward formulation of a definite integral of Z-number-valued function. A definition of definite integral is proposed and its relation with the concept of derivative is analyzed. In the proposed approach, the formalism of approximate limits is used.

Keywords

Z-number Bimodal information Derivative Integral Approximate limit 
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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Research Laboratory of Intelligent Control and Decision Making Systems in Industry and EconomicsAzerbaijan State Oil and Industry UniversityBakuAzerbaijan

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