Volume 7, Issue 10 (October 2020), Pages: 125-130

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 Original Research Paper

 Title: Calculus of new intuitionistic fuzzy generator: In generated intuitionistic fuzzy sets and its applications in medical diagnosis

 Author(s): Nitesh Dhiman, M. K. Sharma *

 Affiliation(s):

 Department of Mathematics, Chaudhary Charan Singh University, Meerut, India

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0003-3071-5931

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2020.10.014

 Abstract:

In this research paper, we defined the generated intuitionistic fuzzy set. We generated an intuitionistic fuzzy generator to define the generated intuitionistic fuzzy set. The generated intuitionistic fuzzy set is a generalization of the intuitionistic fuzzy set. We proved some basic properties of generated intuitionistic fuzzy set in the context of intuitionistic fuzzy sets; some results are proved by using the notion of newly generated intuitionistic fuzzy set and constructed intuitionistic fuzzy generator. A mathematical approach for the application of the generated intuitionistic fuzzy set is also given in this paper. 

 © 2020 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Intuitionistic fuzzy complement, Fuzzy complement functional, Intuitionistic fuzzy generator, Generated intuitionistic fuzzy set

 Article History: Received 25 February 2020, Received in revised form 12 June 2020, Accepted 18 June 2020

 Acknowledgment:

The first author would like to thank the university grant commission for financial support, and the authors are also thankful to the referees for their valuable comments.

 Compliance with ethical standards

 Conflict of interest: The authors declare that they have no conflict of interest.

 Citation:

 Dhiman N and Sharma MK (2020). Calculus of new intuitionistic fuzzy generator: In generated intuitionistic fuzzy sets and its applications in medical diagnosis. International Journal of Advanced and Applied Sciences, 7(10): 125-130

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