Decision Making Under Uncertainty via Generalized Parabolic Intuitionistic Fuzzy Numbers

Dutta, Palash; Saikia, Bornali; Doley, Dhanesh

doi:10.1007/978-3-030-34152-7_18

Recent Advances in Intelligent Information Systems and Applied Mathematics

2020

DOI: 10.1007/978-3-030-34152-7_18

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Decision Making Under Uncertainty via Generalized Parabolic Intuitionistic Fuzzy Numbers

Palash Dutta

Bornali Saikia

Dhanesh Doley

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2024

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Dynamic analysis of a fuzzy Bobwhite quail population model under g-division law

Ouyang,

Zhang,

Cai

et al. 2024

Sci Rep

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This paper is concerned with a kind of Bobwhite quail population model $$\begin{aligned} x_{n+1}=A+Bx_n+\frac{x_n}{x_{n-1}x_{n-2}},\ \ n=0,1,\cdots , \end{aligned}$$ x n + 1 = A + B x n + x n x n - 1 x n - 2 , n = 0 , 1 , ⋯ , where the parameters and initial values are positive parabolic fuzzy numbers. According to g-division of fuzzy sets and based on the symmetrical parabolic fuzzy numbers, the conditional stability of this model is proved. Besides the existence, boundedness and persistence of its unique positive fuzzy solution. When some fuzzy stability conditions are satisfied, the model evolution exhibits oscillations with return to a fixed fuzzy equilibrium no matter what the initial value is. This phenomena provided a vivid counterexample to Allee effect in density-dependent populations of organisms. As a supplement, two numerical examples with data-table are interspersed to illustrate the effectiveness. Our findings have been verified precise with collected northern bobwhite data in Texas, and will help to form some efficient density estimates for wildlife populations of universal applications.

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Dynamic analysis of a fuzzy Bobwhite quail population model under g-division law

Ouyang,

Zhang,

Cai

et al. 2024

Sci Rep

View full text Add to dashboard Cite

show abstract

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Decision Making Under Uncertainty via Generalized Parabolic Intuitionistic Fuzzy Numbers

Cited by 1 publication

References 11 publications

Dynamic analysis of a fuzzy Bobwhite quail population model under g-division law

Dynamic analysis of a fuzzy Bobwhite quail population model under g-division law

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