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New Arithmetic Operations in Inverse of Triskaidecagonal Fuzzy Number Using Alpha Cut

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Book cover Soft Computing: Theories and Applications

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 583))

Abstract

The main target of the paper is to introduce the square root and inverse of new fuzzy number called triskaidecagonal fuzzy number. This new approach deals with lexical scale values and also includes basic arithmetic operations of its inverse by means of alpha cut. It follows with the definitions. The next section proceeds with square root of triskaidecagonal fuzzy number and its linguistic values and arithmetic operation for inverse fuzzy number. This inverse operation can apply in various fields with 13 parameters. Finally, the paper ends with reference and conclusion.

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References

  1. Felix, A., Christopher, S., Victor Devadoss, A.: A nanogonal fuzzy number and its arithmetic operation. Int. J. Math. Appl. 3(2), 185–195 (2015). ISSN: 2347-1557

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  2. Banerjee, S., Roy, T.K.: Arithmetic operations on generalized trapezoidal fuzzy number and its applications. Turk. J. Fuzzy Syst. 3(1), 16–44 (2012)

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  3. Rajkumar, A., Helen, D.: Tree trigger success of door bell using fuzzy number. Int. J. Pure. Appl. Math. 114(5), 71–77 (2017). ISSN: 1311–8080 (printed version); ISSN: 1314–3395 (online version)

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Author information

Authors and Affiliations

  1. Department of Mathematics, Hindustan Institute of Technology and Science, Hindustan University, Chennai, 603103, India

    A. Rajkumar & D. Helen

Authors
  1. A. Rajkumar
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  2. D. Helen
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Corresponding author

Correspondence to A. Rajkumar .

Editor information

Editors and Affiliations

  1. Department of Applied Science and Engineering, IIT Roorkee, Saharanpur, India

    Millie Pant

  2. Department of Physics, Amity School of Applied Sciences, Amity University Rajasthan, Jaipur, Rajasthan, India

    Kanad Ray

  3. Department of Computer Science and Engineering, Amity School of Engineering and Technology, Amity University Rajasthan, Jaipur, Rajasthan, India

    Tarun K. Sharma

  4. Department of Electronics and Communication Engineering, SEEC, Manipal University Jaipur, Jaipur, Rajasthan, India

    Sanyog Rawat

  5. Surface Characterization Group, NIMS, Nano Characterization Unit, Advanced Key Technologies Division, Tsukuba, Ibaraki, Japan

    Anirban Bandyopadhyay

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© 2018 Springer Nature Singapore Pte Ltd.

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Cite this paper

Rajkumar, A., Helen, D. (2018). New Arithmetic Operations in Inverse of Triskaidecagonal Fuzzy Number Using Alpha Cut. In: Pant, M., Ray, K., Sharma, T., Rawat, S., Bandyopadhyay, A. (eds) Soft Computing: Theories and Applications. Advances in Intelligent Systems and Computing, vol 583. Springer, Singapore. https://doi.org/10.1007/978-981-10-5687-1_11

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  • DOI: https://doi.org/10.1007/978-981-10-5687-1_11

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-5686-4

  • Online ISBN: 978-981-10-5687-1

  • eBook Packages: EngineeringEngineering (R0)

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