Fuzzy Information and Engineering

Pour, Majid Khak; Ghaemi, Sehraneh; Badamchizadeh, Mohammad Ali

2018 Fuzzy Information and Engineering

doi: 10.1080/16168658.2019.1706957

This paper proposes a new method for designing a state feedback controller for stabilizing and also making the desired performance of Interval Type-2 Takagi–Sugeno-Kang Fuzzy Logic Systems (fIT2 TSK FLS). By using the advantages of WU-Mendel Uncertainty Bounds (WM-UB) method, this paper proposes a new approach for Single-Input and Single-Output (SISO) and Multi-Input and Multi-Output (MIMO) interval type-2 TSK systems, which is based on the Hybrid Compensation Control (HCC) approach. The advantages of this method are no necessity to solving any Linear Matrix Inequalities (LMIs) to find a quadratic Lyapunov function for designing the stabilizer controller and also, the designed controller could compensate the time-varying variations. It should be noted that the inference engine is formulated in closed form and does not require using any type of reduction. Some examples have been conducted in our study to demonstrate the effectiveness of the proposed control design approach and compare this method with the previous approaches. All results illustrate good control performance.

Choudhury, Binayak S.; Khatua, D.; Saha, P.; Dhara, P. S.

2018 Fuzzy Information and Engineering

doi: 10.1080/16168658.2019.1706958

In this paper, a fuzzy protocol for a decision-making problem on the choice of location for establishing a production unit from a set of possible locations is presented. Trapezoidal fuzzy numbers are used in the protocol. The ordering between fuzzy numbers is central to the protocol. A remarkable feature is that there is no case of failure, that is, there exists no case leading to indecision in this protocol. No defuzzification operation is used. A numerical illustration is given. The methodology used is a part of Fuzzy Analytical Hierarchical Methods (FAHM).

Tsafack, S. Atamewoue; Ndjeya, S.; Strüngmann, L.; Lele, C.

2018 Fuzzy Information and Engineering

doi: 10.1080/16168658.2019.1706959

In this paper, we define the notion of fuzzy linear code, fuzzy cyclic code over a Galois ring , fuzzy Gray map and we use it to construct fuzzy -linear codes and fuzzy -cyclic codes.

Garai, Arindam; Mandal, Palash; Roy, Tapan Kumar

2018 Fuzzy Information and Engineering

doi: 10.1080/16168658.2020.1750871

This article presents one interactive algorithm, and thereby determines the Pareto optimal solution to multi-objective stochastic linear programming (MOSLP) problems in real-life oriented fuzzy environment. Among the various objective functions, there always exists one objective function, referred to as the main objective function in this article, to multi-objective models, whose optimal value is most vital to decision-makers. When the optimal value to main objective function meets the pre-determined aspiration level, and the corresponding values to other objective functions are satisfactory in nature, that Pareto optimal solution is acceptable to decision-makers. Again, in several existing interactive fuzzy optimisation methods to MOSLP models, all reference membership levels of expectations to objective functions are considered as a unity. However, this seems to be less rational that the expectation of each conflicting objective function simultaneously attains the individual goal. So, the present article proposes to employ the trade-off ratios of membership functions to analytically determine reference membership levels in a fuzzy environment. Numerical applications further illustrate this algorithm. Finally, conclusions are drawn.

Özkan, Samed

2018 Fuzzy Information and Engineering

doi: 10.1080/16168658.2020.1822082

In this paper, the notion of single-valued neutrosophic proximity spaces which is a generalisation of fuzzy proximity spaces [Katsaras AK. Fuzzy proximity spaces. Anal and Appl. 1979;68(1):100–110.] and intuitionistic fuzzy proximity spaces [Lee SJ, Lee EP. Intuitionistic fuzzy proximity spaces. Int J Math Math Sci. 2004;49:2617–2628.] was introduced and some of their properties were investigated. Then, it was shown that a single-valued neutrosophic proximity on a set X induced a single-valued neutrosophic topology on X. Furthermore, the existence of initial single-valued neutrosophic proximity structure is proved. Finally, based on this fact, the product of single-valued neutrosophic proximity spaces was introduced.

Khalil, Shuker Mahmood; Hassan, A.

2018 Fuzzy Information and Engineering

doi: 10.1080/16168658.2020.1799703

In this paper, we propose new notions of fuzzy soft algebras like fuzzy soft ρ-subalgebra (FSρ-SA), fuzzy soft ρ-ideal (FSρ-I), and fuzzy soft . Next, we investigated their relations with other types of fuzzy soft algebras like fuzzy soft d-subalgebra (FSd-SA), fuzzy soft d-ideal (FSd-I), fuzzy soft BCK-subalgebra (FSBCK-SA), fuzzy soft BCK-ideal (FSBCK-I), and others. In addition, we study and discuss some basic characterisations of fuzzy soft ρ-ideal with their applications. Furthermore, several examples are presented to expound our notions in this work.

Cao, Bing-yuan; Fan, Suo-hai

2018 Fuzzy Information and Engineering

doi: 10.1080/16168658.2020.1824879