Journal of Intelligent & Fuzzy Systems - Volume 27, issue 2

Authors: Zhang, Qinghua | Shen, Wen

Article Type: Research Article

Abstract: Rough set is a mathematical tool proposed by professor Pawlak to deal with uncertain knowledge. Attribute reduction is one of the core contents of rough set theory when people acquire knowledge from an information system. The existing reduction algorithms are often based on a kind of attribute importance, without considering the application information such as the costs, users' preferences, etc. Firstly, through the analysis of existing attribute reduction algorithms based on the attribute importance, the weighted attribute importance considering users' requirements is proposed. Secondly, based on the weighted attribute importance, a new attribute reduction algorithm is presented, and the algorithm's …completeness is proved in detail. Finally, experiments on the proposed algorithm have been completed, and the experiment results show that compared with the existing algorithms, the reduction results of the proposed algorithm are more coincident with the actual requirements of users. Show more

Keywords: Rough set, attribute importance, weighted attribute importance, attribute reduction

DOI: 10.3233/IFS-131062

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 2, pp. 1011-1019, 2014

Authors: Zhao, Hua | Xu, Zeshui

Article Type: Research Article

Abstract: Many operators have been developed for aggregating interval-valued intuitionistic fuzzy information. However, the existing interval-valued intuitionistic fuzzy aggregation operators can not reflect the concentration of the data in group decision making. In this paper, we present some new synthesized interval-valued intuitionistic fuzzy aggregation operators based on the existing interval-valued intuitionistic fuzzy aggregation operators and the clustering technique. The characteristic of these synthesized interval-valued intuitionistic fuzzy aggregation operators is that they can consider and reflect the density of the interval-valued intuitionistic fuzzy information distribution. Moreover, an approach to group decision making based on interval-valued intuitionistic preference relations by using these proposed …operators is developed. Finally a numerical example is given to illustrate the solution process of our method. Show more

Keywords: Group decision making, density-based interval-valued intuitionistic fuzzy operators, interval-valued intuitionistic preference relation, car selection

DOI: 10.3233/IFS-131063

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 2, pp. 1021-1033, 2014

Authors: Sezer, Aslıhan Sezgin

Article Type: Research Article

Abstract: In this paper, a new approach to LA-semigroup theory is proposed by obtaining significant characterizations of regular, intra-regular, completely regular, weakly regular and quasi-regular LA-semigroups via soft intersection left (right, two-sided) ideals, (generalized) bi-ideals, interior ideals, quasi-ideals of LA-semigroups.

Keywords: Soft set, soft intersection left (right, two-sided, interior, quasi) ideal, soft intersection (generalized)-bi ideal, regular LA-semigroup

DOI: 10.3233/IFS-131064

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 2, pp. 1035-1046, 2014

Authors: Yu, Shi-Jie

Article Type: Research Article

Abstract: We investigate the multiple attribute group decision making (MAGDM) problems in which the attribute values take the form of uncertain linguistic variables. Motivated by the idea of power geometric aggregation, in this paper, we develop some uncertain linguistic power geometric aggregation operators: the uncertain linguistic power weighted geometric (ULPWG) operator and the uncertain linguistic power ordered weighted geometric (ULPOWG) operator, and then apply them to multiple attribute group decision making problems with uncertain linguistic information. Finally, an illustrative example for evaluating the urban land intensive use in the Three Gorges reservoir area is given to verify the developed approaches and …to demonstrate its practicality and effectiveness. Show more

Keywords: Multiple attribute group decision making (MAGDM), uncertain linguistic variables, power average operator, power geometric operator, uncertain linguistic power geometric aggregation operator, urban land intensive use

DOI: 10.3233/IFS-131065

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 2, pp. 1047-1056, 2014

Authors: Zhu, Jian-Qi | Fu, Feng | Yin, Ke-Xin | Luo, Jia-Qian | Wei, Da

Article Type: Research Article

Abstract: In this paper, we investigate the multiple attribute decision making (MADM) problems with hesitant interval-valued fuzzy information. Then, we further develop some new Einstein aggregation operators with hesitant interval-valued fuzzy information, such as the induced hesitant interval-valued fuzzy Einstein correlated averaging (I-HIVFECA) operator and induced hesitant interval-valued fuzzy Einstein correlated geometric (I-HIVFECG) operator. Then, we apply the induced hesitant interval-valued fuzzy Einstein correlated averaging (I-HIVFECA) operator and induced hesitant interval-valued fuzzy Einstein correlated geometric (I-HIVFECG) operator to deal with multiple attribute decision making under the hesitant interval-valued fuzzy environments. Finally, an illustrative example for evaluating software quality is given to …verify the developed approach and to demonstrate its practicality and effectiveness. Show more

Keywords: Multiple attribute decision making (MADM), hesitant interval-valued fuzzy values, Einstein aggregation operators, induced hesitant interval-valued fuzzy Einstein correlated averaging (I-HIVFECA) operator, induced hesitant interval-valued fuzzy Einstein correlated geometric (I-HIVFECG) operator

DOI: 10.3233/IFS-131066

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 2, pp. 1057-1065, 2014

Authors: He, Lan | Teng, Hui

Article Type: Research Article

Abstract: The paper investigates the dynamic hybrid multiple attribute decision making problems, in which the decision information, provided by decision makers at different periods, is expressed in intuitionistic fuzzy numbers or interval-valued intuitionistic fuzzy numbers, respectively. We first develop two new aggregation operators called dynamic intuitionistic fuzzy Einstein weighted geometric (DIFEWG) operator and dynamic interval-valued intuitionistic fuzzy Einstein weighted geometric (DIVIFEWG) operator. Moreover, a procedure based on the DIFEWG and DIVIFEWG operators is developed to solve the dynamic hybrid multiple attribute decision making problems where all the decision information about attribute values takes the form of intuitionistic fuzzy numbers or interval-valued …intuitionistic fuzzy numbers collected at different periods. Then, we utilize two different grey relational analysis (intuitionistic fuzzy GRA and interval-valued intuitionistic fuzzy GRA) to calculate the overall grey relational degree of each alternative to the positive and negative ideal alternatives based on the decision information expressed in intuitionistic fuzzy numbers or interval-valued intuitionistic fuzzy numbers, respectively and then calculate the relative grey relational degree of each alternative to the positive to rank all the altenatives. Finally, an illustrative example for curative effect evaluation of psychotic disorders is given to verify the developed approach and to demonstrate its practicality and effectiveness. Show more

Keywords: Dynamic hybrid multiple attribute decision making, GRA (grey relational analysis), dynamic intuitionistic fuzzy Einstein weighted geometric (DIFEWG) operator, dynamic interval-valued intuitionistic fuzzy Einstein weighted geometric (DIVIFEWG) operator, curative effect evaluation

DOI: 10.3233/IFS-131067

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 2, pp. 1067-1075, 2014