Fuzzy $$\alpha $$-cut and related mathematical structures

Jana, Purbita; Chakraborty, Mihir K.

doi:10.1007/s00500-020-05131-z

Cited by 12 publications

(2 citation statements)

References 19 publications

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“…Meanwhile,a classic fuzzy set, ” -cut set” was proposed as a means of handling uncertainty that is due to imprecision or vagueness rather than to randomness. Algebraic structures arising out of the family of fuzzy -cuts and fuzzy strict ” -cuts” were investigated in 9 , and some significance and usefulness of fuzzy -cut set are discussed. Based on -cut sets, revealing the relationship of deterministic and uncertain models, many fuzzy models were studied worldwide.…”

Section: Background and Motivationmentioning

confidence: 99%

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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Section: Background and Motivationmentioning

confidence: 99%

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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“…It provides more space to alleviate uncertainty. As proposed by Jana and Chakraborty [8], the fuzzy α-cut calculation could offer an effective tool for dealing with problems containing fuzzy information and help decision-makers make better choices when facing uncertainty.…”

Section: Introductionmentioning

confidence: 99%

The Road to Sustainable Logistics: Using the Fuzzy Nonlinear Multi-Objective Optimization Model to Build Photovoltaic Stations in Taiwan’s Logistics Centers

Wang,

Chiang,

Pan

et al. 2023

Sustainability

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In Taiwan, numerous company logistics centers have embraced installing solar photovoltaic power stations (SPPSs) on their rooftops. The primary objective of this study is to expedite the generation of green electricity for sale, bolstering the logistics center’s income and enhancing its environmental, social, and governance (ESG) profile. How can we secure solar photovoltaic power station (SPPS) projects with expedited construction timelines, reduced investment costs, and heightened quality aligned with the long-term ESG objectives? The study applies the critical path method (CPM) to determine the item’s path. Next, the mothed leverages Zimmermann’s mathematical models for nonlinear multi-objectives and Yager’s fuzzy sets to enhance project efficiency, minimizing completion time and cost while maximizing the quality ratio. Subsequently, the project uses Liou and Wang’s defuzzification values and incorporates Dong’s fuzzy to accelerate calculations. In this case, Project HP’s item J, the construction time is reduced from 24.3 to 3.2 days, ensuring that construction quality meets an 85% standard. Item J necessitates expanding the fuzzy cost interval (4549.90, 15,416.65, 26,283.41) (it refers to a scope of possible costs). It becomes evident that construction time plays a pivotal role in controlling costs. For Project HP’s item H, the unit time quality decision ranges from TWD 238,000 to 240,000, to turn into a cost interval of TWD 215,100, 239,000, and 262,900. Consequently, cost transformation transitions from an active to a more passive role, with quality and construction time becoming the driving components. This study uses a fuzzy nonlinear multi-objective model to guide the decision analysis of SPPSs within logistics centers. This strategy enables decision-makers to streamline logistics center operations, ensuring time, cost, and quality (TCQ) alignment during SPPS installation, thereby advancing ESG sustainability goals.

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Single-Valued Neutrosophic CRITIC-Based ARAS Method for the Assessment of Sustainable Circular Supplier Selection

Mishra,

Krishankumar,

Cavallaro

et al. 2023

Applied Innovation and Technology Management

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Fuzzy $$\alpha $$-cut and related mathematical structures

Cited by 12 publications

References 19 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

The Road to Sustainable Logistics: Using the Fuzzy Nonlinear Multi-Objective Optimization Model to Build Photovoltaic Stations in Taiwan’s Logistics Centers

Single-Valued Neutrosophic CRITIC-Based ARAS Method for the Assessment of Sustainable Circular Supplier Selection

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