Journal of Intelligent & Fuzzy Systems - Volume 37, issue 3

Authors: El-Saady, Kamal | Temraz, Ayat A.

Article Type: Research Article

Abstract: In this paper we consider the category M -FQMod of M -fuzzy (left) Q -modules over a given quantale Q . We introduce and investigate the notion of M -fuzzy Q -submodule of a left Q -module. Also, the notions of M -fuzzy module nuclei and conuclei on a left Q -module are defined, and the elementary properties of both are studied. The relationships between such notions and M -fuzzy Q -submodule are discussed. Finally, the relationship between the category of M -fuzzy Q -modules and the category of (L , M )-quasi-fuzzy topological spaces is discussed.

Keywords: Quantale, semi quantale, left Q-module, module nucleus and module conucleus, 06A06, 54A10, 54A40

DOI: 10.3233/JIFS-190073

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 3805-3814, 2019

Authors: Sulaiman, Muhammad | Samiullah, Ismat | Hamdi, A. | Hussain, Zubair

Article Type: Research Article

Abstract: In this paper, we have used a novel initialization strategy to improve Whale optimization algorithm (WOA), which is named as The Improved Whale Optimization Algorithm (IWOA). To evaluate the capability of the algorithm in terms of efficiency and performance, we have implemented it to solve thermal economic multi-objective optimization problems of Plate Fin Heat Exchanger (PFHE). We have investigated the design problem with a single-objective as well as multi-objectives. In single-objective we have minimized the total cost and maximized the effectiveness of PFHE. In multi-objective, we have combined the total cost and effectiveness, with the help of design weights and …a penalty parameter. The sensitivity of IWOA is checked towards the change in population sizes and the target prey numbers. The algorithm was stable in calculating the best values but was variative in number of functions evaluations. The performance of IWOA is compared with Genetic Algorithm (GA), Elitist-Jaya Algorithm (EJA), and modified-TLBO (Teaching Learning Based Optimization). Which show that IWOA has significantly improved the results. The suggested algorithm has less parameters to be set by designers. It converges to the required results quickly and is easy to implement. Similarly, all the experiments suggested that IWOA is applicable to design problems with complex objectives and highly non-linear constraints. Show more

Keywords: Design Engineering Problems, Whale Optimization Algorithm (WOA), Plate Fin Heat Exchanger (PFHE), Constrained Optimization

DOI: 10.3233/JIFS-190081

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 3815-3828, 2019

Authors: Zhang, Nian | Yuan, Yin | Fu, Deqiang | Wei, Guiwu

Article Type: Research Article

Abstract: Dual hesitant fuzzy linguistic set consists of linguistic terms, membership hesitancy degrees and non-membership hesitancy degrees, which is widely applied to describe the quantitative and qualitative information in the decision-making problem. In this article, some new power aggregation operators of dual hesitant fuzzy linguistic set on the Archimedean t-conorms and t-norms functions are introduced. Then, the properties of those new operators are studied and the relationships between novel operators and existing ones are discussed. Furthermore, an approach to resolve group decision making problem is described. Finally, an example is used to illustrate the developed approach.

Keywords: Dual hesitant fuzzy linguistic set, power-geometric operator, Archimedean t-conorm and t-norm, group decision making

DOI: 10.3233/JIFS-190098

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 3829-3847, 2019

Authors: Tao, Hong-Yu | Zhao, Mei-Ling | Ye, Jun

Article Type: Research Article

Abstract: A neutrosophic cubic set (NCS) can depict single-valued and interval neutrosophic information simultaneously in real life. Then, the NCS concept cannot describe neutrosophic cubic information regarding the assessment problems of two-dimensional universal sets (TDUSs), while a Q-neutrosophic set (Q-NS) can depict neutrosophic information in TDUSs but not describe neutrosophic cubic information in TDUSs. Motivated by the Q-NS and NCS concepts, we need to extend the Q-NS concept to Q-NCS for indicating neutrosophic cubic information in TDUSs. Therefore, this study first proposes a Q-NCS concept, which indicates its truth, falsity, and indeterminacy values independently in TDUSs, and then the basic operations …of Q-neutrosophic cubic elements (Q-NCEs) and some weighted aggregation operators of Q-NCEs, such as a Q-NCE weighted arithmetic averaging (Q-NCEWAA) operator and a Q-NCE weighted geometric averaging (Q-NCEWGA) operator. Next, Q-neutrosophic cubic multi-attribute decision-making (MADM) methods regarding the proposed Q-NCEWAA and Q-NCEWGA operators are proposed under TDUSs and Q-NCS setting. Eventually, an illustrative example shows the applicability of the proposed MADM methods in TDUSs and Q-NCS setting. Show more

Keywords: Q-neutrosophic cubic set, two-dimensional universal sets, Q-neutrosophic cubic element weighted geometric averaging (Q-NCEWAA) operator, Q-neutrosophic cubic element weighted geometric averaging (Q-NCEWGA) operator, decision making

DOI: 10.3233/JIFS-190116

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 3849-3864, 2019

Authors: Mohammed, Shehu Shagari | Azam, Akbar

Article Type: Research Article

Abstract:  In this paper, the notion of soft set-valued mappings and E -soft fixed points are introduced. These ideas are used to establish some analogues of classical fixed point theorems in the literature. Some Examples are given to support the hypotheses of the theorems. A few graphical and tabular illustrations are also provided so as to visualize the novel concepts pictorially. Moreover, as an application of one of the presented results, an existence condition for a solution of nonlinear discrete-type delay differential equation is provided.

Keywords: soft set, soft set-valued mapping, E-soft fixed point, delay differential equation 2010 Mathematics Subject Classification: 46S40, 47H10, 54H25.

DOI: 10.3233/JIFS-190126

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 3865-3877, 2019

Authors: Liu, Ming | Zhao, Hua | Xu, Zeshui | Ma, Rufei

Article Type: Research Article

Abstract: Interval-valued intuitionistic multiplicative set (IVIMS) has received more and more attention in solving practical problems. The intentions of the decision makers (DMs) can be reflected more objectively by the interval-valued intuitionistic multiplicative numbers (IVIMN), because we use intervals instead of crisp numbers, the unsymmetrical scale instead of the symmetrical scale to show the DMs’ preferences. But we also find the existing problems in the application processes. The representation of the IVIMNs is so complicated that it increases our workload and wastes time. To alleviate this, we use two intuitionistic multiplicative numbers (IMNs) to simplify the IVIMN. Then the simplified IVIMN …(SIVIMN) and the corresponding simplified IVIMS (SIVIMS) are discussed in this paper. On this basis, we propose the operation laws and prove some properties of them. Then the aggregation operators for the simplified interval-valued intuitionistic multiplicative (SIVIM) information are developed, which is used to propose the SIVIM decision making method. At the end of the paper, we use an example to prove the feasibility of the SIVIMNs and verify their advantages. Show more

Keywords: Simplified interval-valued intuitionistic multiplicative number, aggregation operator, simplified interval-valued intuitionistic multiplicative decision matrix

DOI: 10.3233/JIFS-190127

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 3879-3895, 2019

Authors: Moiduddin, Khaja | Mian, Syed Hammad | Alkhalefah, Hisham | Umer, Usama

Article Type: Research Article

Abstract: A multitude of rapid prototyping (RP) systems and technologies have come up since the introduction of additive process. Owing to the enlarging number of these systems with distinctive efficacy, the problem of selecting an appropriate system for a particular requirement is a cumbersome task. Henceforth, this work comes up with a strategy based on multi-attribute decision making to select a most suitable RP system. The presence of subjectivity in decision making as well as the existence of imprecision from various sources emphasize the methods which must consider uncertainty and vagueness. A decision advisor based on uncertainty theories, including fuzzy analytical …hierarchy process (FAHP) and grey relational analysis (GRA) has been introduced. It provides a comprehensive database comprising thirty nine commercially available RP systems. The evaluation attributes consisting of machine cost, accuracy, layer thickness, machine speed, material cost, net build size volume, machine weight, surface roughness, and material strength were utilized to characterize the different machines. The FAHP based on trapezoidal fuzzy number was implemented to determine the priority weights of various attributes, while the GRA was employed to realize the best RP system and technology. The authors believe that this system has the potential to transform into a fully developed RP selection system. Show more

Keywords: Rapid prototyping, fuzzy analytical hierarchy process, trapezoidal fuzzy number, grey relational analysis, additive manufacturing, sustainability

DOI: 10.3233/JIFS-190128

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 3897-3923, 2019

Authors: Asif, Muhammad | Shah, Tariq

Article Type: Research Article

Abstract: Accelerated adventures in computer Science and technology has made digital technology, a need of the day. Academicians, researchers, and technologists are anxious to share their secret data through the communication channel along with its security. The security of data, transmission rate, and error correction capability are the fundamental questions against the data transmission through any algebraic code dependent communication channel. Though, data security is always questioned due to the synchronized encoding and decoding algorithms. In this paper, a novel approach is developed to ensure the data security issues occurred due to synchronized encoding-decoding of a BCH code and for data …transmission, a computational technique is designed by which data can be encoded and transmitted by using Field-Linear BCH code or a Ring-Linear BCH code of the same dimension, designed distance and code length. Although the Ring-Linear BCH code is preferable for encoding, on the other hand decoding of data is adept by Field-Linear BCH code. Accordingly, a computational technique of Barlekamp Massey Algorithm is utilized for the purpose. This scheme provides a quick code selection of the desired level of transmission rate and error correction capability during the communication. Thus, it also addresses the dimension issue of primitive BCH code. In addition, for the data security perspective we utilize a BCH code in round key addition and mixed column matrix steps in AES algorithm and then put on this modified AES algorithm to image encryption. The image encryption quality permits to incorporate this alteration in AES. Show more

Keywords: Primitive BCH-code, Galois ring, Galois field, generator polynomial, AES algorithm

DOI: 10.3233/JIFS-190137

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 3925-3939, 2019

Authors: Fathalian, M. | Borzooei, R.A. | Hamidi, M.

Article Type: Research Article

Abstract: In this paper, by considering the concept of hesitancy fuzzy magic labeling of a graph, we show that whether any simple graph is hesitancy fuzzy magic labelizing. For this we prove that, any finite path graph, cyclic graph, star graph and by using them, any complete graph and so any connected graph has hesitancy fuzzy magic labelizing. Finally, we give some applications for hesitancy fuzzy magic labeling graphs in plumbing system and traffic flow.

Keywords: Cyclic graph, star graph, connected graph, fuzzy graph, hesitancy fuzzy magic labeling graph

DOI: 10.3233/JIFS-190148

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 3941-3955, 2019

Authors: Xin, Feng | Zhongbin, Li | Manzhang, Tu | Nishan, Chen

Article Type: Research Article

Abstract:  A precise recruitment can improve the efficiency of human resource management and enhance the core competitiveness of enterprises. However, the information asymmetry in recruitment leads enterprises to make recruitment decisions in fuzzy evaluation environments, thus reducing the accuracy of recruitment. This paper applies a robust approach to the recruitment optimization problem in an interval-valued fuzzy evaluation environment in which the actual abilities of applicants are randomly distributed within given intervals. The objective of this paper is to establish a robust recruitment scheme with the minimal maximum regret for recruitment revenue. Both exact and heuristic algorithms are proposed to solve the …problem, which is proven to be NP hard. Computational experiments are conducted to evaluate the performance of the proposed algorithms. In addition, the paper reveals the key factors that affect the ability of an enterprise to implement accurate employment schemes. Corresponding suggestions on enterprise recruitment management are also proposed. Show more

Keywords: Robust optimization, fuzzy evaluation, hill climbing algorithm, information asymmetry, precise use of talent

DOI: 10.3233/JIFS-190152

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 3957-3968, 2019