Journal of Intelligent & Fuzzy Systems - Volume Pre-press, issue Pre-press

Authors: Chen, Yang

Article Type: Research Article

Abstract: General type-2 fuzzy logic systems (GT2 FLSs) have drawn great attentions since the alpha-planes representation of general type-2 fuzzy sets (GT2 FSs) was proposed. The iterative of type-reduction (TR) algorithms are difficult to apply in practical applications. In the enhanced types of algorithms, the Nagar-Bardini (NB) algorithms decrease the computation complexity greatly. In terms of the Newton-Cotes quadrature formulas of numerical integration techniques, the paper extends the NB algorithms to three different forms of weighted NB (WNB) algorithms according to the comparisons between the sum operation in NB algorithms and the integral operation in continuous version of NB (CNB) algorithms. …The NB algorithms just become a special case of the WNB algorithms. Four simulation examples are used to illustrate and analyze the performances of the WNB algorithms while performing the centroid TR of GT2 FLSs. It also shows that, in general, the WNB algorithms have smaller absolute error and faster convergence speed compared with the NB algorithms, which provides the potential value for T2 FLSs designers and users. Show more

Keywords: alpha-planes representation, general type-2 fuzzy logic systems, type-reduction, weighted Nagar-Bardini algorithms, simulation

DOI: 10.3233/JIFS-182644

Citation: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-18, 2019

Authors: Nguyen, Hoang

Article Type: Research Article

Abstract: The arithmetic operations on intuitionistic fuzzy sets defined by Atanassov are the most popular in the intuitionistic fuzzy set theory. Based on these operations, many commonly used methods for solving the decision-making (DM) problems under intuitionistic fuzzy environment have been developed and various aggregation operators have been proposed. However, there have been revealed some undesirable properties of these operators, such as the inconsistency with the operations on the ordinary fuzzy sets (FSs), the non-monotonicity of the addition and multiplication operations or non-monotonicity under multiplication by a scalar. We show in this paper that these drawbacks pertain to also the recently …proposed combined aggregations operators such as intuitionistic fuzzy Heronian mean (IFHM), intuitionistic fuzzy interaction partitioned Bonferroni mean (IFIPBM), intuitionistic fuzzy Dombi Bonferroni mean (IFDBM), intuitionistic fuzzy Maclaurin symmetric mean (IFMSM), Pythagorean fuzzy Maclaurin symmetric mean (PFMSM), q-rung orthopair fuzzy power Maclaurin symmetric mean (q-ROFPMSM), Muirhead mean (IFWMM) and intuitionistic fuzzy hybrid weighted arithmetic and geometric aggregation operators (IFHWAGA).This paper proposes some new arithmetic operations on Atanassov’s intuitionistic fuzzy sets that have good algebraic properties, such as idempotency, commutativity, monotonicity and monotonicity under multiplication by a scalar. Based on the proposed operations, the intuitionistic fuzzy weighted arithmetic mean and intuitionistic fuzzy weighted geometric mean operators with the acceptable properties are developed. Some illustrative examples are performed to demonstrate effectiveness and reliability of our method. Finally, in order to verify the validity of the proposed method in solving real-life DM problems, an application example is conducted with a comparative analysis with other existing methods. Show more

Keywords: Intuitionistic fuzzy sets, operations, aggregation operator, decision making

DOI: 10.3233/JIFS-179437

Citation: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-13, 2019

Authors: Haktanır, Elif | Kahraman, Cengiz

Article Type: Research Article

Abstract: Hypothesis tests are a statistical decision-making tool for testing if a hypothesized parameter value is supported by the sample data or not. Vagueness and impreciseness in the sample data require fuzzy techniques to be employed in the analysis. These techniques can be based on intuitionistic fuzzy sets, hesitant fuzzy sets, type-2 fuzzy sets, neutrosophic sets, or spherical fuzzy sets. In this paper, Z-fuzzy numbers are used to capture the vagueness in the sample data and develop Z-fuzzy hypothesis testing. A Z-fuzzy number is represented by a restriction function that is usually a triangular or trapezoidal fuzzy number and a reliability …function representing the confidence level to the restriction function. Illustrative examples for left and right sided hypothesis testing and sensitivity analyses are presented. Show more

Keywords: Z-fuzzy number, hypothesis testing, statistical decision making, restriction function, reliability function

DOI: 10.3233/JIFS-182700

Citation: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-11, 2019

Authors: Peng, Xindong | Ma, Xueling

Article Type: Research Article

Abstract: Pythagorean fuzzy set (PFS), as a generalization of intuitionistic fuzzy set (IFS), is more suitable to capture the indeterminacy of the experts’ decision making information. This paper is designed to build new algorithm for managing multi-criteria decision making (MCDM) issue under Pythagorean fuzzy environment. First, we initiate a novel score function based Pythagorean fuzzy number (PFN). Later, we explore an algorithm for solving MCDM problem based on CODAS (COmbinative Distance-based ASsessment). Ultimately, the availability of method is stated by some numerical examples. The dominating traits of the developed algorithm, compared to some existing Pythagorean fuzzy decision making algorithms, are (1) …derive a ranking without the complex process; (2) achieve the optimal alternative without counterintuitive phenomena; (3) strong ability to differentiate the optimal alternative. Show more

Keywords: Pythagorean fuzzy number, CODAS, score function, MCDM

DOI: 10.3233/JIFS-190043

Citation: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-12, 2019

Authors: Wu, Zezhong | Song, Fei

Article Type: Research Article

Abstract: In this paper, we mainly introduced the invexity and generalized invexity of n-dimensional fuzzy number-valued functions based on the new ordering which defined by Gong and Hai in [9 ]. Simultaneously, we discussed the relationship between semicontinuous and preinvex fuzzy number-valued functions, and some properties among invexity and generalized invexity of n-dimensional fuzzy number-valued functions. Finally, we studied the necessary and sufficient conditions for weakly efficient point of fuzzy optimization.

Keywords: Invex fuzzy number-valued functions, n-Dimensional fuzzy number, Fuzzy optimization, Semicontinuity, Gordan’s Theorem

DOI: 10.3233/JIFS-190370

Citation: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-12, 2019

Authors: Ammar, El Saeed | Eljerbi, Tarek

Article Type: Research Article

Abstract: In solving real life fractional programming problem, we often face the state of uncertainty as well as hesitation due to various uncontrollable factors. To overcome these limitations, the fuzzy rough approach is applied to this problem. In this paper, an efficient method is proposed for solving fuzzy rough multiobjective integer linear fractional programming problem where all the variables and parameters are fuzzy rough numbers. Here, the fuzzy rough multiobjective problem transformed into an equivalent multiobjective integer linear fractional programming problem. Furthermore, from the obtained problem, five crisp multiobjective integer linear fractional programming problems are constructed and the resultant problems are …solved as a crisp integer linear programming problem by using Dinkelbach concept. Finally, the effectiveness of the proposed procedure is illustrated through numerical examples. Show more

Keywords: Fractional programming, integer programming problem, triangular fuzzy rough numbers, fuzzy rough linear programming

DOI: 10.3233/JIFS-182552

Citation: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-13, 2019

Authors: Singh, Abhilash | Sharma, Sandeep | Singh, Jitendra | Kumar, Rahul

Article Type: Research Article

Abstract: Wireless sensor networks (WSNs) found application in many diverse fields, starting from environment monitoring to machine health monitoring. The sensor in WSNs senses information. Sensing and transmitting this information consume most of the energy. Also, this information requires proper processing before final usages. This paper deals with minimising the redundant information sensed by the sensors in WSNs to reduce the unnecessary energy consumption and prolong the network lifetime. The redundant information is expressed in terms of the overlapping sensing area of the working sensors set. A mathematical model is proposed to find the redundant information in terms of the overlapping …area. A combined heuristic approach is used to achieve the optimal coverage, and the effect of the overlapping area is considered in the objective function to reduce the amount of redundant information sensed by the working sensors set. Improved genetic algorithm (IGA) and Binary ant colony algorithm (BACA) are used as heuristic tools to optimise the multi-objective function. The objective was to find the minimum number of sensors that cover a complete scenario with minimum overlapping sensing region. The results show that optimal coverage with the minimum working sensor set is achieved and then by incorporating the concept of overlapping area in the objective function, sensing of redundant information is further reduced. Show more

Keywords: Improved genetic algorithm, Binary ant colony algorithm, Redundant information, Objective function, Overlapping area

DOI: 10.3233/JIFS-190605

Citation: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-11, 2019

Authors: Luo, Minxia | Wu, Lixian | Fu, Li

Article Type: Research Article

Abstract: A new distance metric between interval-valued fuzzy sets is proposed. The four special logic metric spaces based on the distance are structured. we analysis and compare the structures of the four logic metric spaces. It is shown that the Łukasiewicz logic metric space and Goguen logic metric space are more suitable for interval-valued fuzzy reasoning. Moreover, the robustness of interval-valued fuzzy reasoning triple I methods are studied in the two logic metric spaces. We prove that fuzzy reasoning triple I methods based on the interval-valued Łukasiewicz residuated implication and interval-valued Goguen residuated implication are robust.

Keywords: Interval-valued fuzzy sets, distance metric, fuzzy metric spaces, triple I method, robustness

DOI: 10.3233/JIFS-179441

Citation: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-12, 2019

Authors: Goker, Nazli | Dursun, Mehtap | Cedolin, Michele

Article Type: Research Article

Abstract: Companies should cope with uncertain and unpredictable changes while improving responsiveness capability to survive in dynamic market conditions. In recent years, agility concept becomes more and more popular to meet these requirements in management as well as manufacturing. From supply chain viewpoint, collaborating with agile suppliers is principal for constructing an agile supply chain, which is flexible, quick, and responsive. This paper aims to identify the most suitable agile supplier alternative by introducing a novel distance based hierarchical intuitionistic decision making procedure. The proposed methodology, which deals with uncertain and vague data, allows to represent hesitation by using intuitionistic fuzzy …numbers rather than fuzzy numbers that fail to take into account hesitancy. The causal links among evaluation criteria are expressed with intuitionistic fuzzy cognitive map tool that enables to yield the importance degree of each criterion. Moreover, the hierarchical representation of the decision making problem provides an effective analysis with the presence of numerous criteria that are to be considered. The distance based framework is to minimize the distance to the ideal solution while maximizing the distance from the anti-ideal solution in order to determine the most appropriate agile supplier alternative. The case study is conducted in a dye manufacturer that performs in Turkish dye industry. Show more

Keywords: Intuitionistic fuzzy sets, intuitionistic fuzzy cognitive map, hierarchical decision making, agile supplier selection

DOI: 10.3233/JIFS-179438

Citation: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-10, 2019

Authors: Aydın, Serhat | Kabak, Mehmet

Article Type: Research Article

Abstract: Investment analysis is a process of choosing the best alternative among investment alternatives that provide the best fit for a company. The process contains uncertainty, vagueness, fuzziness and insufficient data; therefore, this evaluating process needs experts’ knowledge and judgments. Fuzzy set theory is a useful technique to capture experts’ evaluations. This paper proposes the new present worth and future worth analysis techniques with single valued neutrosophic set. The proposed techniques allow using possible values of alternatives’ data and membership function of alternatives assigned by experts. The techniques provide the literature with a new multiplication operator and a new term under …the name “neutrosophic equivalent”. An illustrative example shows the applicability of the techniques. Comparison analyses are realized with classical and simplified neutrosophic present and future worth techniques. The comparison results show that the proposed techniques overcome investment analysis problems effectively and efficiently. Show more

Keywords: Investment analysis, present worth analysis, future worth analysis, neutrosophic sets, fuzzy sets

DOI: 10.3233/JIFS-179436

Citation: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-11, 2019