Nonlinear Triangular Intuitionistic Fuzzy Number and Its Application in Linear Integral Equation

Joint Authors

Goswami, Adrijit
Mondal, Sankar Prasad
Kumar De, Sujit

Source

Advances in Fuzzy Systems

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-03-03

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

In this paper we introduce the different arithmetic operations on nonlinear intuitionistic fuzzy number (NIFN).

All the arithmetic operations are done by max-min principle method which is nothing but the application of interval analysis.

We also define the nonlinear intuitionistic fuzzy function which is used for finding the values, ambiguities, and ranking of nonlinear intuitionistic fuzzy number.

The de-i-fuzzification of the corresponding intuitionistic fuzzy solution is done by average of ( α , β ) -cut method.

Finally we solve integral equation with NIFN by the help of intuitionistic fuzzy Laplace transform method.

American Psychological Association (APA)

Mondal, Sankar Prasad& Goswami, Adrijit& Kumar De, Sujit. 2019. Nonlinear Triangular Intuitionistic Fuzzy Number and Its Application in Linear Integral Equation. Advances in Fuzzy Systems،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1118037

Modern Language Association (MLA)

Mondal, Sankar Prasad…[et al.]. Nonlinear Triangular Intuitionistic Fuzzy Number and Its Application in Linear Integral Equation. Advances in Fuzzy Systems No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1118037

American Medical Association (AMA)

Mondal, Sankar Prasad& Goswami, Adrijit& Kumar De, Sujit. Nonlinear Triangular Intuitionistic Fuzzy Number and Its Application in Linear Integral Equation. Advances in Fuzzy Systems. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1118037

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1118037