Journal of Intelligent & Fuzzy Systems - Volume 35, issue 1

Authors: Huang, Yu-Han | Wei, Gui-Wu

Article Type: Research Article

Abstract: Recently, the TODIM (an acronym in Portuguese for Interactive Multi-criteria Decision Making) approach, which can characterize the decision makers’ psychological behaviors under risk, has been introduced to handle multiple attribute decision making (MADM) problems. The Pythagorean 2-tuple linguistic sets (P2TLSs) are useful tools to depict uncertainty in MADM. This paper use TODIM method to solve MADM with the Pythagorean 2-tuple linguistic numbers (P2TLNs). Firstly, the definition, comparison and distance of P2TLNs are briefly presented, and classical TODIM for MADM are introduced. Then, the extended classical TODIM method is proposed to deal with MADM problems with P2TLNs, and its important characteristic …is to fully consider the decision makers’ bounded rationality which is a real action in MADM. Furthermore, we extend TODIM method to Pythagorean interval 2-tuple linguistic sets (PI2TLSs). Finally, a numerical example is proposed and a comparative analysis is also given. Show more

Keywords: Multiple attribute decision making (MADM), Pythagorean 2-tuple linguistic sets (P2TLSs), Pythagorean 2-tuple linguistic numbers (P2TLNs), Pythagorean interval 2-tuple linguistic sets (PI2TLSs), TODIM method, prospect theory

DOI: 10.3233/JIFS-171636

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 901-915, 2018

Authors: Shi, Lilian | Ye, Jun

Article Type: Research Article

Abstract: Linguistic neutrosophic numbers (LNNs) contain three linguistic variables which can independently represent the truth, indeterminacy, and falsity degrees in the real world. Correlation coefficient is a useful tool in decision-making problems. Hence, this paper proposes three new correlation coefficients between LNNs. Then, a multi-attribute group decision-making (MAGDM) method is developed based on the correlation coefficients under LNN environment. Finally, an example about a decision-making problem is presented to illustrate the application and effectiveness of the proposedmethod.

Keywords: Linguistic neutrosophic number, correlation coefficient, MAGDM method

DOI: 10.3233/JIFS-171652

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 917-925, 2018

Authors: Fang, Jun | Li, Zhiming | Yang, Fan | Zhou, Mengyuan

Article Type: Research Article

Abstract: Li et al. [1 ] applied uncertain differential equation (UDE) to study a class of susceptible-infectious-susceptible (SIS) epidemic model with the bilinear incidence rate and constant population size. In this paper, we study an uncertain SIS epidemic model with standard incidence and demography. By scale transformation, the deterministic and uncertain proportion epidemic models are introduced. Solutions of these models and α -paths of uncertain model are given. Further, under threshold conditions, we discuss extinction and permanence of the disease and reveal relationship of the deterministic and uncertain models. Some examples are provided to illustrate these results.

Keywords: Standard incidence, SIS epidemic model, uncertain differential equation, Liu process, α-path

DOI: 10.3233/JIFS-171684

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 927-935, 2018

Authors: Gong, Yanbing | Xiang, Lin

Article Type: Research Article

Abstract: The incentre and circumcentre are two important concepts in geometric quality of triangle. Rouhparvar [Appl. Soft Comput. 30(2015) 577-584] presented the incentre point computational formula for defuzzification of generalized fuzzy numbers. On this basis, we will further consider the circumcenter point computational formula of generalized fuzzy numbers. This paper presents a new method for ranking fuzzy numbers with convex combination coordinate points of incentre and circumcentre that is an extension of Rouhparvar’s method. This extension method can effectively rank various fuzzy numbers and their images. Some numerical examples are illustrated to show the utility of proposed method.

Keywords: Ranking fuzzy numbers, incentre point, circumcenter point, convex combination

DOI: 10.3233/JIFS-171766

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 937-944, 2018

Authors: Ahmad, Amir | Khan, Shehroz S. | Kumar, Ajay

Article Type: Research Article

Abstract: Regression via Classification (RvC) is a process to solve a regression problem by using a classifier. An ensemble consists of many models, in which the final result is the combination of the results of these individual models. In this paper, two RvC ensemble methods are proposed. In the first ensemble method, the output of the ensemble method is modified to achieve the final output. A formula is derived in this paper for this purpose. In the second method, a new approach is proposed to compute the output of each model of an ensemble. It is shown that an accurate binary …classifier can be transformed into an accurate regression method with the proposed methods. It is also shown experimentally, by using popular Random Forests as a classifier in the proposed ensemble methods against Random Forests as a regression method, the effectiveness of the proposed RvC ensemble methods. Show more

Keywords: Regression, ensembles, regression trees, discretization, Randomization

DOI: 10.3233/JIFS-171812

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 945-955, 2018

Authors: Wang, Jun Tao | Borumand Saeid, Arsham | Wang, Mei

Article Type: Research Article

Abstract: In this paper, we investigate related properties of some particular derivations and give some characterizations of regular derivations in commutative multiplicative semilattices. Also we give some characterizations of zero derivations in prime commutative multiplicative semilattices. Then we prove that the set of all prefect derivations ideals on commutative multiplicative semilattices with prefect derivations can form a complete Heyting algebra and obtain that there exists a one to one correspondence between the set of all prefect derivations ideals on commutative multiplicative semilattices with prefect derivations and its quotient structure. Finally, we show that the structure of an idempotent commutative quantale is …completely determined by its set of all principal derivations. Show more

Keywords: Multiplicative semilattice, prefect derivation, fixed point set, quantale

DOI: 10.3233/JIFS-171838

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 957-966, 2018

Authors: Tran, Thien Khai | Phan, Tuoi Thi

Article Type: Research Article

Abstract: Sentiment (or emotional) dictionaries play a key role and are “the materials” for sentiment analysis applications, especially in Vietnamese where the corpus is not yet available. In this research, we propose a sentiment dictionary for Vietnamese, known as VNSD, which adopts machine translation, Logistic Regression, “double propagation,” and fuzzy rules. The sentiment dictionary counts approximately 5,000 adjectives, 2,000 verbs, 300 nouns, and more than 200 adverbs, which lead to a combination of more than 100,000 sentiment phrases covering the Vietnamese emotional lexicons. We found that a hybrid approach offers better performance compared to stand-alone data-mining or natural language processing techniques. …The key contribution of VNSD that distinguishes it from related work is a deep investment in exploiting Vietnamese linguistic characteristics to propose suitable rules for computing the sentiment scores of Vietnamese text phrases. Show more

Keywords: VNSD, Vietnamese sentiment dictionary, Vietnamese emotional dictionary, sentiment phrase scores, logistic regression, double propagation, fuzzy rules

DOI: 10.3233/JIFS-172053

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 967-978, 2018

Authors: Hosny, Mona

Article Type: Research Article

Abstract: Rough set theory was introduced by Pawlak in 1982 to handle imprecision, vagueness, and uncertainty in data analysis. It is dealing with vagueness (ambiguous) of the set by using the concept of the lower and upper approximations of objects based on an equivalence relation. The main idea of rough sets corresponds to study these approximations. So, in this paper, we generalize these approximations in the frameworks of topological spaces. The lower and upper approximations of Pawlak’s model are replaced by interior and closure notions of the topological space. The set approximations are defined using the new topological notions δβ j …-open sets and ⋀β j -sets. Such techniques open the way for more topological applications in rough context and help in formalizing many applications from real-life data. The current extension approximations are satisfied all properties of original rough set theory without any conditions or restrictions. Comparisons between the current approximations and the previous one are introduced and shown to be more general. Show more

Keywords: 𝛿𝛽 j-open sets, ⋀𝛽 j-sets, rough sets, lower and upper approximations, accuracy measure

DOI: 10.3233/JIFS-172078

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 979-993, 2018

Authors: Zhang, Haidong | He, Yanping

Article Type: Research Article

Abstract: In this paper, we establish a systematic framework for the study of hesitant fuzzy compatible rough sets by a constructive approach. In the constructive approach, we introduce the concept of lower and upper hesitant fuzzy compatible rough approximation operators and also investigate some properties of this model. Then the concepts of roughness measure and approximate precision of a crisp set in hesitant fuzzy compatible approximation space are proposed and their basic properties are further discussed. Based on the hesitant fuzzy compatible rough sets, a novel decision-making approach to hesitant fuzzy soft sets is established. Meanwhile, a practical example is provided …to demonstrate the effectiveness of this method. Finally, by comparing the novel method with the decision making method based on fuzzy soft sets, we point out some advantages of the novel method. Show more

Keywords: Hesitant fuzzy compatible relation, hesitant fuzzy compatible rough approximation operators, hesitant fuzzy compatible rough set, hesitant fuzzy soft sets

DOI: 10.3233/JIFS-172114

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 995-1006, 2018

Authors: Guo, Zhaozhuang | Liu, Yankui

Article Type: Research Article

Abstract: In uncertain single-period inventory problem, the optimal decision often depends heavily on the distribution of uncertain market demand. When only partial demand distribution information is available, it is important for decision makers to order a reliable quantity to immunize against the distribution uncertainty. The main contribution of this paper is to develop a new distributionally robust optimization method for single-period inventory problem, in which the uncertain market demand is characterized by generalized parametric interval-valued (PIV) possibility distribution and its associated uncertainty distribution set. The formulation of our distributionally robust optimization model is based on the proposed uncertainty distribution set, so …it can generate a reliable solution to immunize against distribution uncertainty. Under two assumptions on the underlining decision-making environment, the robust counterpart of the original uncertain optimization problem is proposed for single-period inventory problem. To solve the robust single-period inventory model, this paper discusses the computational issue about the infinitely many Lebesgue-Stieltjes (L–S) integral constraints and reformulates the robust counterpart problem as its equivalent deterministic inventory sub-models. According to the structural characteristics of the deterministic inventory sub-models, a domain decomposition method is designed to find the robust optimal solution to our single-period inventory problem. Finally, some computational results are reported about a practical single-period inventory problem to show the primary benefit of using the proposed distributionally robust fuzzy optimization method. Show more

Keywords: Inventory management, uncertainty distribution set, robust optimization, robust counterpart, domain decomposition method

DOI: 10.3233/JIFS-172128

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 1007-1019, 2018