Complex Fuzzy Sets and their variants
Rubeena Khaliq; Pervaiz Iqbal; Shahid Ahmad Bhat; Ram Singh; Shilpi Jain; Praveen Agarwal
Abstract
In this present study, the tumor growth model using the Gompertz equation with the Allee effect is developed under a fuzzy environment using the Generalized Hukuhara Derivative (GHD) approach. To capture the tumor growth patterns with the Allee threshold, the parameters present in the model vary ...
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In this present study, the tumor growth model using the Gompertz equation with the Allee effect is developed under a fuzzy environment using the Generalized Hukuhara Derivative (GHD) approach. To capture the tumor growth patterns with the Allee threshold, the parameters present in the model vary from time to time, and in real life, it is very difficult to estimate the exact cell count. In this vague situation, the initial condition, coefficient, and both together are taken as the fuzzy number. In this paper, the GHD approach is used to solve the fuzzy tumor growth model in which four different cases are considered with respect to (i)-gH differentiability and (ii)-gH differentiability concept. The main objective of this study is to present a significant reduction in uncertainty while modeling the tumor growth in a fuzzy environment with the Allee effect. Finally, the proposed model and technique are illustrated by numerical simulation and analysis of tumor growth is conducted.
Complex Fuzzy Sets and their variants
Rasul Rasuli
Abstract
In this paper, we define the conceps of complex fuzzy Lie subalgebras and complex fuzzy ideals of Lie algebras with respect to t-norms and investigate some of characteristics and relationship between them. Next, we introduce the concepos of quotient subalgebras, intersection, sum and direct product of ...
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In this paper, we define the conceps of complex fuzzy Lie subalgebras and complex fuzzy ideals of Lie algebras with respect to t-norms and investigate some of characteristics and relationship between them. Next, we introduce the concepos of quotient subalgebras, intersection, sum and direct product of them and prove some results about them. Finally, we introduce and study the image and the inverse image of them under Lie algebra homomorphisms.
Complex Fuzzy Sets and their variants
Orhan Engin; Meral İşler
Abstract
This paper deals with the Fuzzy Hybrid Flow Shop (FHFS) scheduling inspired by a real apparel process. A Parallel Greedy (PG) algorithm is proposed to solve the FHFS problems with Setup Time (ST) and Lot Size (LS). The fuzzy model is used to define the uncertain setup and Processing Time (PT) and Due ...
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This paper deals with the Fuzzy Hybrid Flow Shop (FHFS) scheduling inspired by a real apparel process. A Parallel Greedy (PG) algorithm is proposed to solve the FHFS problems with Setup Time (ST) and Lot Size (LS). The fuzzy model is used to define the uncertain setup and Processing Time (PT) and Due Dates (DDs). The setup and PTs are defined by a Triangular Fuzzy Number (TAFN). Also, the Fuzzy Due Date (FDD) is denoted by a doublet. The tardiness, the tardy jobs, the setup and Idle Time (IT), and the Total Flow (TF) time are minimized by the proposed PG algorithm. The effectiveness of the proposed PG algorithm is demonstrated by comparing it with the Genetic Algorithm (GeA) in the literature. A real-world application in an apparel process is done. According to the results, the proposed PG algorithm is an efficient method for FHFS scheduling problems with ST and LS in real-world applications.
