Journal of Intelligent & Fuzzy Systems - Volume 34, issue 3

Authors: Zhao, Yun | Cheng, Wen-Chiao | Ho, Chih-Chang

Article Type: Research Article

Abstract: Shannon entropy is an important tool in the study of information theory. A new fuzzy entropy was introduced by Dumitrescu [5, 6 ] in the context of fuzzy sets or messages. From the perspective of the fuzzy version, this paper defines the conditional fuzzy entropy of a sequence of fuzzy process, and studies the commutativity behavior of sequential fuzzy entropy in the fuzzy process. Moreover, the commutativity behavior of functions and invariant measures is discussed in those different fuzzy processes. However, our demonstration needs more techniques of topological dynamics and fuzzy analysis.

Keywords: Fuzzy entropy, fuzzy dynamical systems, power rule, commutativity

DOI: 10.3233/JIFS-17793

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 2021-2029, 2018

Authors: Kamacı, Hüseyin | Saltık, Kader | Fulya Akız, Hürmet | Osman Atagün, Akın

Article Type: Research Article

Abstract: The main objective of this paper is to present a novel decision making algorithm using matrix representation of the inverse soft set defined in [10 ]. Therefore, we first introduce cardinality inverse soft matrix theory and its operations, products and algebraic structures in detail. Afterwards, an algorithmic solution employing the cardinality inverse soft matrix to find the optimum object and the ranking order of objects is proposed. The performance of algorithm named soft sum-row decision making algorithm is demonstrated by solving various decision problems. Also, we compare it with existing algorithms based on the soft set theory, soft matrix theory …and inverse soft set theory. Moreover, we give Scilab codes of the algorithm and argue that this codes make the process of decision making composed of many objects, criteria and decision makers faster and easier. Show more

Keywords: Inverse soft set, cardinality inverse soft matrix, operations of cardinality inverse soft matrix, soft sum-row decision making

DOI: 10.3233/JIFS-17876

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 2031-2049, 2018

Authors: Zhai, Junhai | Zhang, Sufang

Article Type: Research Article

Abstract: Three-way decisions model proposed by Yao gives a semantic interpretation of positive region, negative region and boundary region. This model was developed in the framework of classical rough set, the approached target concept is a crisp set, the employed knowledge is a equivalence relation. In this paper, we extend the three-way decisions model to rough fuzzy set. Specifically, the target concept is extended to a fuzzy set, while the used knowledge is also a equivalence relation. An example is given to illustrate the computation processes of the proposed three-way decisions model. The extended model can deal with the problems described …by fuzzy decision tables with symbolic-valued conditional attributes and fuzzy decision attributes. Show more

Keywords: Three-way decisions, rough set, rough fuzzy set, fuzzy set

DOI: 10.3233/JIFS-17888

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 2051-2059, 2018