Axioms Pub Date : 2024-07-04 DOI: 10.3390/axioms13070456

Chuanyang Ruan, Xiangjing Chen, Lin Yan

{"title":"Fermatean Hesitant Fuzzy Multi-Attribute Decision-Making Method with Probabilistic Information and Its Application","authors":"Chuanyang Ruan, Xiangjing Chen, Lin Yan","doi":"10.3390/axioms13070456","DOIUrl":"https://doi.org/10.3390/axioms13070456","url":null,"abstract":"When information is incomplete or uncertain, Fermatean hesitant fuzzy sets (FHFSs) can provide more information to help decision-makers deal with more complex problems. Typically, determining attribute weights assumes that each attribute has a fixed influence. Introducing probability information can enable one to consider the stochastic nature of evaluation data and better quantify the importance of the attributes. To aggregate data by considering the location and importance degrees of each attribute, this paper develops a Fermatean hesitant fuzzy multi-attribute decision-making (MADM) method with probabilistic information and an ordered weighted averaging (OWA) method. The OWA method combines the concepts of weights and sorting to sort and weigh average property values based on those weights. Therefore, this novel approach assigns weights based on the decision-maker’s preferences and introduces probabilities to assess attribute importance under specific circumstances, thereby broadening the scope of information expression. Then, this paper presents four probabilistic aggregation operators under the Fermatean hesitant fuzzy environment, including the Fermatean hesitant fuzzy probabilistic ordered weighted averaging/geometric (FHFPOWA/FHFPOWG) operators and the generalized Fermatean hesitant fuzzy probabilistic ordered weighted averaging/geometric (GFHFPOWA/GFHFPOWG) operators. These new operators are designed to quantify the importance of attributes and characterize the attitudes of decision-makers using a probabilistic and weighted vector. Then, a MADM method based on these proposed operators is developed. Finally, an illustrative example of selecting the best new retail enterprise demonstrates the effectiveness and practicality of the method.","PeriodicalId":502355,"journal":{"name":"Axioms","volume":" 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141677137","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamic Pricing and Inventory Strategies for Fashion Products Using Stochastic Fashion Level Function 使用随机时尚水平函数的时尚产品动态定价和库存策略

Axioms Pub Date : 2024-07-04 DOI: 10.3390/axioms13070453

Wenhan Lu, Litan Yan

{"title":"Dynamic Pricing and Inventory Strategies for Fashion Products Using Stochastic Fashion Level Function","authors":"Wenhan Lu, Litan Yan","doi":"10.3390/axioms13070453","DOIUrl":"https://doi.org/10.3390/axioms13070453","url":null,"abstract":"The fashion apparel industry is facing an increasingly growing demand, compounded by the short sales lifecycle and strong seasonality of clothing, posing significant challenges to inventory management in the retail sector. Despite some retailers like Uniqlo and Zara implementing inventory management and dynamic pricing strategies, challenges persist due to the dynamic nature of fashion trends and the stochastic factors affecting inventory. To address these issues, we construct a mathematical model based on the mathematical expression of the deterministic fashion level function, where the geometric Brownian motion, widely applied in finance, is initially utilized in the stochastic fashion level function. Drawing on research findings from deteriorating inventory management and stochastic optimization, we investigate the fluctuation of inventory levels, optimal dynamic pricing, optimal production rates, and profits—four crucial indicators—via Pontryagin’s maximum principle. Analytical solutions are derived, and the numerical simulation is provided to verify and compare the proposed model with deterministic fashion level function models. The model emphasizes the importance of considering stochastic factors in decision-making processes and provides insights to enhance profitability, inventory management, and sustainable consumption in the fashion product industry.","PeriodicalId":502355,"journal":{"name":"Axioms","volume":" 30","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141678755","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analyzing the Ricci Tensor for Slant Submanifolds in Locally Metallic Product Space Forms with a Semi-Symmetric Metric Connection 分析具有半对称公设连接的局部金属积空间形式中斜面子曼形体的里奇张量

Axioms Pub Date : 2024-07-04 DOI: 10.3390/axioms13070454

Yanlin Li, Mohd Aquib, Meraj Ali Khan, Ibrahim Al-Dayel, Khalid Masood

引用次数: 0

Some New Estimations of Ostrowski-Type Inequalities for Harmonic Fuzzy Number Convexity via Gamma, Beta and Hypergeometric Functions 通过伽马函数、贝塔函数和超几何函数对谐波模糊数凸性的奥斯特洛夫斯基式不等式的一些新估计

Axioms Pub Date : 2024-07-04 DOI: 10.3390/axioms13070455

A. Alshehry, L. Ciurdariu, Yaser Saber, Amal F. Soliman

引用次数: 0

Uncertainty Degradation Model for Initiating Explosive Devices Based on Uncertain Differential Equations 基于不确定微分方程的引爆爆炸装置不确定性退化模型

Axioms Pub Date : 2024-07-03 DOI: 10.3390/axioms13070449

Changli Ma, Li Jia, Meilin Wen