Yaser Saber^1,2, Fahad Alsharari^1,6,*, Florentin Smarandache³, Mohammed Abdel-Sattar^4,5

CMES-Computer Modeling in Engineering & Sciences, Vol.130, No.3, pp. 1625-1648, 2022, DOI:10.32604/cmes.2022.017782

Abstract This article aims to present new terms of single-valued neutrosophic notions in the Šostak sense, known as single-valued neutrosophic regularity spaces. Concepts such as r-single-valued neutrosophic semi £-open, r-single-valued neutrosophic pre-£-open, r-single valued neutrosophic regular-£-open and r-single valued neutrosophic α£-open are defined and their properties are studied as well as the relationship between them. Moreover, we introduce the concept of r-single valued neutrosophic θ£-cluster point and r-single-valued neutrosophic γ £-cluster point, r-θ£-closed, and θ£-closure operators and study some of their properties. Also, we present and investigate the notions of r-single-valued neutrosophic θ£-connectedness and r-single valued neutrosophic δ£-connectedness and investigate relationship… More >

D. Ajay¹, J. Aldring¹, G. Rajchakit², P. Hammachukiattikul³, N. Boonsatit^4,*

CMES-Computer Modeling in Engineering & Sciences, Vol.130, No.2, pp. 1033-1076, 2022, DOI:10.32604/cmes.2022.018267

Abstract In this paper, sine trigonometry operational laws (ST-OLs) have been extended to neutrosophic sets (NSs) and the operations and functionality of these laws are studied. Then, extending these ST-OLs to complex neutrosophic sets (CNSs) forms the core of this work. Some of the mathematical properties are proved based on ST-OLs. Fundamental operations and the distance measures between complex neutrosophic numbers (CNNs) based on the ST-OLs are discussed with numerical illustrations. Further the arithmetic and geometric aggregation operators are established and their properties are verified with numerical data. The general properties of the developed sine trigonometry weighted averaging/geometric aggregation operators for… More >

Bhimraj Basumatary^1,*, Nijwm Wary¹, Jeevan Krishna Khaklary², Usha Rani Basumatary¹

CMES-Computer Modeling in Engineering & Sciences, Vol.130, No.2, pp. 1017-1031, 2022, DOI:10.32604/cmes.2022.018066

Abstract The neutrality’s origin, character, and extent are studied in the Neutrosophic set. The neutrosophic set is an essential issue to research since it opens the door to a wide range of scientific and technological applications. The neutrosophic set can find its spot to research because the universe is filled with indeterminacy. Neutrosophic set is currently being developed to express uncertain, imprecise, partial, and inconsistent data. Truth membership function, indeterminacy membership function, and falsity membership function are used to express a neutrosophic set in order to address uncertainty. The neutrosophic set produces more rational conclusions in a variety of practical problems.… More >

Shouzhen Zeng^1,2, Shahbaz Ali^3,*, Muhammad Khalid Mahmood⁴, Florentin Smarandache⁵, Daud Ahmad⁴

CMES-Computer Modeling in Engineering & Sciences, Vol.130, No.1, pp. 581-606, 2022, DOI:10.32604/cmes.2022.017397

Abstract Fuzzy models are present everywhere from natural to artificial structures, embodying the dynamic processes in physical, biological, and social systems. As real-life problems are often uncertain on account of inconsistent and indeterminate information, it seems very demanding for an expert to solve those problems using a fuzzy model. In this regard, we develop a hybrid new model m-polar Diophantine neutrosophic N-soft set which is based on neutrosophic set and soft set. Additionally, we define several different sorts of compliments on the proposed set. A proposed set is a generalized form of fuzzy, soft, Pythagorean fuzzy, Pythagorean fuzzy soft, and Pythagorean… More >

S. Satham Hussain¹, G. Muhiuddin^2,*, N. Durga³, D. Al-Kadi⁴

CMES-Computer Modeling in Engineering & Sciences, Vol.130, No.1, pp. 559-580, 2022, DOI:10.32604/cmes.2022.017032

Abstract The partition of indeterminacy function of the neutrosophic set into the contradiction part and the ignorance part represent the quadripartitioned single valued neutrosophic set. In this work, the new concept of quadripartitioned bipolar single valued neutrosophic graph is established, and the operations on it are studied. The Cartesian product, cross product, lexicographic product, strong product and composition of quadripartitioned bipolar single valued neutrosophic graph are investigated. The proposed concepts are illustrated with examples. More >

Volkan Duran¹, Selçuk Topal^2,*, Florentin Smarandache³, Said Broumi⁴

CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.2, pp. 953-971, 2021, DOI:10.32604/cmes.2021.016696

Abstract In this study, the Five Facet Mindfulness Questionnaire which was adapted from the short form of the Five Facet Mindfulness Questionnaire was evaluated and this scale into neutrosophic form was converted and the results of the scale were compared for proposing new type confirmatory analysis procedure as well as developing neutrosophic scales. The exploratory factor analysis was used in the analysis of the data. Besides, test results were analyzed for Kaiser–Meyer–Olkin and Bartlett values, common factor variance values, scree plot graphs, and the principal component analysis results. The sample of the study consists of 194 students in mathematics departments at… More >

Mohammad Fallah^*, Hamed Nozari

CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.2, pp. 927-951, 2021, DOI:10.32604/cmes.2021.017511

Abstract In this paper, a multi-objective sustainable biomass supply chain network under uncertainty is designed by neutrosophic programming method. In this method, for each objective function of the problem, three functions of truth membership, non-determination and falsehood are considered. Neutrosophic programming method in this paper simultaneously seeks to optimize the total costs of the supply chain network, the amount of greenhouse gas emissions, the number of potential people hired and the time of product transfer along the supply chain network. To achieve the stated objective functions, strategic decisions such as locating potential facilities and tactical decisions such as optimal product flow… More >

Jamil Ahmed¹, Majed G. Alharbi², Muhammad Akram^3,*, Shahida Bashir¹

CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.2, pp. 881-906, 2021, DOI:10.32604/cmes.2021.017222

Abstract A bipolar single-valued neutrosophic set can deal with the hesitation relevant to the information of any decision making problem in real life scenarios, where bipolar fuzzy sets may fail to handle those hesitation problems. In this study, we first develop a new method for solving linear programming problems based on bipolar singlevalued neutrosophic sets. Further, we apply the score function to transform bipolar single-valued neutrosophic problems into crisp linear programming problems. Moreover, we apply the proposed technique to solve fully bipolar single-valued neutrosophic linear programming problems with non-negative triangular bipolar single-valued neutrosophic numbers (TBS_vNNs) and non-negative trapezoidal bipolar single-valued neutrosophic… More >

Changshuo Wang¹, Liangqing Wang^2,*, Shigui Du¹, Jun Ye^1,3, Rui Yong¹

CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.2, pp. 973-991, 2021, DOI:10.32604/cmes.2021.017453

Abstract To better estimate the rock joint shear strength, accurately determining the rock joint roughness coefficient (JRC) is the first step faced by researchers and engineers. However, there are incomplete, imprecise, and indeterminate problems during the process of calculating the JRC. This paper proposed to investigate the indeterminate information of rock joint roughness through a neutrosophic number approach and, based on this information, reported a method to capture the incomplete, uncertain, and imprecise information of the JRC in uncertain environments. The uncertainties in the JRC determination were investigated by the regression correlations based on commonly used statistical parameters, which demonstrated the… More >

Dongsheng Xu, Lijuan Peng^*

CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.2, pp. 907-926, 2021, DOI:10.32604/cmes.2021.016720

Abstract Due to the complexity of decision-making problems and the subjectivity of decision-makers in practical application, it is necessary to adopt different forms of information expression according to the actual situation of specific decision-making problems and choose the best method to solve them. Multi-valued neutrosophic set, as an extension of neutrosophic set, can more effectively and accurately describe incomplete, uncertain or inconsistent information. TODIM and TOPSIS methods are two commonly used multi-attribute decision-making methods, each of which has its advantages and disadvantages. This paper proposes a new method based on TODIM and TOPSIS to solve multi-attribute decision-making problems under multi-valued neutrosophic… More >