Journal of Intelligent & Fuzzy Systems - Volume 33, issue 3

Authors: Kar, Supriya | Basu, Kajla | Mukherjee, Sathi

Article Type: Research Article

Abstract: The paper presents the solution of a multi objective multi-index generalized assignment problem using Fuzzy Programming Technique which is a new concept. It emphasizes on minimization of the job cost and time at different sites where the jobs are being performed using different machines (medium). Multi objective assignment problem or multi objective generalized assignment problem have been solved in different ways by different mathematicians. But they have considered only two indices (jobs and alternatives). Here we have considered more than two indices and so it becomes a multi-index generalized assignment problem which makes it superior to the previous methods. This …type of problem has not been solved earlier by our proposed method. Moreover in this paper Fuzzy Programming Technique has been used considering linear, exponential and hyperbolic (non-linear) membership functions for getting optimal solutions. Finally a real life application has been presented. Show more

Keywords: MOMIGAP, FPT

DOI: 10.3233/JIFS-17086

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 3, pp. 1687-1697, 2017

Authors: Akram, Muhammad | Luqman, Anam

Article Type: Research Article

Abstract: Hypergraphs are the basis of various techniques which are widely used in modern mathematics. There are many complex phenomena and concepts in many areas, including rewriting systems, problem solving, databases and logic programming which can be represented using hypergraphs. Our main objective in this research paper is to generalize the concept of bipolar neutrosophic sets to hypergraphs. We introduce certain new concepts, including bipolar neutrosophic hypergraphs, elementary, sectionally elementary and B -tempered bipolar neutrosophic hypergraphs. We describe the concepts of transversals, minimal transversals and locally minimal transversals of bipolar neutrosophic hypergraphs and discuss their certain properties. We also develop and …implement algorithm for finding minimal bipolar neutrosophic transversals. Further, we present some applications of bipolar neutrosophic hypergraphs in marketing and biology. Show more

Keywords: Bipolar neutrosophic hypergraphs, B-tempered bipolar neutrosophic hypergraphs, bipolar neutrosophictransversals, applications

DOI: 10.3233/JIFS-17228

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 3, pp. 1699-1713, 2017

Authors: Kishore Kumar, P.K. | Lavanya, S. | Broumi, Said | Rashmanlou, Hossein

Article Type: Research Article

Abstract: In this paper we discuss about the concepts of vague graphs which gives the precise idea about coloring. We know about the coloring on fuzzy graphs with both fuzzy membership values on vertices and edges. In this work we implement the concept of (α,  β) cuts used to define the properties of coloring in vague graphs. Also we relate the idea of coloring on vertices of vague graphs using different methods. In this regard we focus on fuzzifying the vertex membership values of the vague graph into fuzzy membership values and hence implement the concept of coloring in this fuzzified …vague graph. Show more

Keywords: Vague graphs, fuzzified vague graphs

DOI: 10.3233/JIFS-17489

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 3, pp. 1715-1721, 2017

Authors: Baati, Karim | Hamdani, Tarek M. | Alimi, Adel M. | Abraham, Ajith

Article Type: Research Article

Abstract: In this paper, we propose NPC c , a new Naïve Possibilistic Classifier for categorical data. The proposed classifier relies on the Bayesian structure of the Naïve Bayes Classifier for categorical data (NBC c ) which stands for an interesting pattern when dealing with discrete attributes. However, unlike NBC c , the proposed NPC c is based on the possibilistic formalism as an efficient fuzzy-sets-based alternative to the probabilistic one when handling uncertain data. Distinctively, we use the possibilistic approach to estimate beliefs from categorical data and a Generalized Minimum-based classification algorithm (G-Min) as a …novel algorithm to make decision from possibilistic beliefs. Experimental evaluations on 12 datasets taken from University of California Irvine (UCI) and containing all categorical data, confirm the effectiveness of the proposed new G-Min-based NPC c . With the used datasets, the proposed classifier outperforms the commonly-used classifiers for categorical data including NBC c , C4.5-based decision tree and RIPPER-based classifier. Moreover, it outperforms the two versions of NPC c using commonly-used possibilistic classification algorithms which are based on respectively, the product and the minimum operators. Consequently, we prove the efficiency of the possibilistic approach together with the G-Min algorithm for the classification of categorical data. Show more

Keywords: Naïve possibilistic classifier, possibility theory, G-Min-based possibilistic classifier, naïve Bayesian classifier, categorical data

DOI: 10.3233/JIFS-15372

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 3, pp. 1723-1731, 2017

Authors: Liu, Mingju | Wang, Shijun

Article Type: Research Article

Abstract: Eco-tourism is a tourism style tourists to the nature and the history human landscape of tourism areas as the main Tour object to understand, appreciate and improve their self-cultivation and ecological protection for the purpose of tourism and the protection of the natural and ecological environment and improve the socio-economic environment and make positive contribution to tourism. As ecotourism emphasis on environmental protection, as well as the participation of local residents and the development of the educational function all over the world, but in the development of eco-tourism, many scenic spots under the banner of “eco-tourism” as a pretense, makes …the development and construction of tourism projects hastily launched, which induces the worsening environment and makes tourism scale far exceeding the capacity of the ecological environment. Therefore, in order to better guide the development of eco-tourism, eco-tourism study on the environmental carrying capacity is a major significance. The aim of this paper is to investigate the hesitant fuzzy linguistic multiple attribute decision making problems based on the hesitant fuzzy linguistic sets and Geometric Bonferroni mean operator. Then, we have proposed the aggregation operator: dependent hesitant fuzzy linguistic geometric Bonferroni mean (DHFLGBM) operator. Then, we have utilized DHFLWGBM operator to tackle the multiple attribute decision making problems using hesitant fuzzy linguistic information. Finally, a practical example for evaluating the eco-tourism environmental carrying capacity is proposed to testify the method in this paper. Show more

Keywords: Multiple attribute decision making, hesitant fuzzy linguistic values, dependent hesitant fuzzy linguistic weighted geometric Bonferroni mean (DHFLGWBM) operator, assessment, eco-tourism environmental carrying capacityis

DOI: 10.3233/JIFS-161057

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 3, pp. 1733-1740, 2017

Authors: Yang, Yong

Article Type: Research Article

Abstract: In this paper, we investigate the multiple attribute decision making problems for evaluating the visual design quality with 2-tuple linguistic information. Motivated by the ideal of generalized weighted Bonferroni mean and generalized weighted geometric Bonferroni mean, we develop the 2-tuple linguistic generalized Bonferroni mean (2TLGBM) operator for aggregating the 2-tuple linguistic information. For the situations where the input arguments have different importance, we then define the 2-tuple linguistic generalized weighted Bonferroni mean (2TLGWBM) operator, based on which we develop the procedure for multiple attribute decision making under the 2-tuple linguistic environments. At last, a numerical example for evaluating the visual …design quality is provided to illustrate the proposed method. The result shows the approach is simple, effective and easy to calculate. Show more

Keywords: Multiple attribute decision making, 2-tuple linguistic variables, generalized Bonferroni mean, generalized geometric Bonferroni mean, generalized weighted Bonferroni mean, visual design quality

DOI: 10.3233/JIFS-161637

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 3, pp. 1741-1748, 2017

Authors: Fan, Decheng | Liu, Yun | Li, Hao

Article Type: Research Article

Abstract: The conversion of the industrial structure influences the conversion of the entire economic structure, which involves all aspects of social life inducing consumption, employment and industry and ultimately affects the economic development as a whole. Conversion capacity of the industrial structure is the force to rationalize and sophisticated the industrial structure, the strength of which is directly related to the rationalization and sophistication of industrial structure, the feasibility of upgrading and even the economic development of the region as a whole. In this paper, we investigate the multiple attribute decision making (MADM) problems with fuzzy linguistic information. Motivated by the …ideal of generalized Bonferroni mean, we develop the generalized fuzzy linguistic Bonferroni Mean (GFLBM) operator for aggregating the fuzzy linguistic information. For the situations where the input arguments have different importance, we then define the generalized fuzzy linguistic weighted Bonferroni Mean (GFLWBM) operator, based on which we develop the procedure for multiple attribute decision making under the fuzzy linguistic environments. Finally, a practical example for evaluating the industrial structure transfer capability is proposed to testify the method in this paper. Show more

Keywords: Multiple attribute decision making, fuzzy linguistic variables, generalized fuzzy linguistic Bonferroni Mean (GFLBM) operator, generalized fuzzy linguistic weighted Bonferroni Mean(GFLWBM) operator, industrial structure transfer capability

DOI: 10.3233/JIFS-16237

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 3, pp. 1749-1756, 2017

Authors: Yu, Xiaohui | Zhou, Hong | Zhang, Xufeng | Zhang, Qiang | Liu, Yan | Pang, Jinhui

Article Type: Research Article

Abstract: In this paper, the fuzzy bargaining set of cooperative game with fuzzy coalition is proposed, which can be regarded as the generalization of crisp bargaining set. The fuzzy bargaining set is based on the assumption that the total worth of a fuzzy coalition will be allocated to the players whose participation rate is larger than zero. Because fuzzy core had been proposed as a kind of solution for the fuzzy games, the relationship between fuzzy bargaining set and fuzzy core is also showed. Surprisingly, the relationship between fuzzy bargaining set and fuzzy core does coincide as in the classical case. …The property of fuzzy bargaining set is also analyzed, such as the existence condition of counter-objection. Show more

Keywords: Cooperative game, fuzzy, coalition, bargaining set, core

DOI: 10.3233/JIFS-162417

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 3, pp. 1757-1765, 2017

Authors: Zhang, Xiaohong

Article Type: Research Article

Abstract: The notions of fuzzy anti-grouped filter and fuzzy normal filter in pseudo-BCI algebra are introduced, some properties and equivalent conditions are presented. A counterexample is constructed to show that a fuzzy anti-grouped filter may be not a fuzzy p -filter, by this, a mistake in some literatures is revised. The relationships among some special kinds of fuzzy filters are discussed, the following results are proved: (1) a fuzzy filter of a pseudo-BCI algebra X is fuzzy p -filter if and only if it is both a fuzzy normal filter and a fuzzy anti-grouped filter of X ; …(2) a fuzzy filter of a pseudo-BCI algebra X is a fuzzy associative filter if and only if it is both a fuzzy anti-grouped filter and a fuzzy T -type filter of X , if and only if it is both a fuzzy anti-grouped filter and a fuzzy q -filter of X . Moreover, a method for constructing new fuzzy anti-grouped filter via any fuzzy filter is proposed. Show more

Keywords: Fuzzy logic, pseudo-BCI algebra, anti-grouped pseudo-BCI algebra, fuzzy anti-grouped filter, fuzzy normal filter

DOI: 10.3233/JIFS-17006

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 3, pp. 1767-1774, 2017

Authors: Lin, Hui | Wang, Zhou-Jing

Article Type: Research Article

Abstract: For qualitative decision making problems based on decision makers’ (DMs’) risk preferences and unbalanced linguistic term sets (LTSs), a new linguistic multi-attribute decision making (MADM) method is developed. Firstly, a concept of the generalized linguistic term set (GLTS) with triangular fuzzy semantic information is introduced. In order to capture and measure the DM’s risk preference, a triangular fuzzy membership function with risk preference parameters is constructed. Then, based on the expected semantic information of linguistic terms given by the DM and the distance between two triangular fuzzy numbers, a nonlinear programming model is established to obtain an optimal GLTS. An …approach to linguistic MADM considering the DM’s risk preference is developed and its detailed steps are given. Finally, a numerical example and a sensitivity analysis of risk preference parameters are examined to illustrate the feasibility and effectiveness of the proposed models. Show more

Keywords: Multi-attribute decision making (MADM), risk preference, triangular fuzzy number, generalized linguistic term set (GLTS), decision matrix

DOI: 10.3233/JIFS-17145

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 3, pp. 1775-1784, 2017