Intuitionistic fuzzy set

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  • In the last decades, there have been some extensions of fuzzy sets and their applications. Recently, type-2 fuzzy set and intuitionistic fuzzy set are two of them, drawing a great deal of scientist's attention because of their widespread range of applications. In this paper, we introduce a new concept - type-2 intuitionistic fuzzy set and propose some properties of their operations.

    pdf10p binhminhmuatrenngondoithonggio 09-06-2017 24 2   Download

  • Utilizing the advantages of the intuitionistic fuzzy sets and fuzzy sets, which are combined in the proposed method, to overcome some drawbacks of the conventional FCM in handling uncertainties or hesitant and also resolve the fuzziness. Experimental results show that the proposed algorithm is better than the traditional fuzzy clustering algorithms.

    pdf9p viengland2711 23-07-2019 4 0   Download

  • In this paper, we first introduce the notion of linguistic intuitionistic fuzzy relation. This notion is useful in situations when each correspondence of objects is presented as two labels such that the first expresses the degree of membership, and the second expresses the degree of non-membership as in the intuitionistic fuzzy theory.

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  • In 2013, Cuong and Kreinovich defined picture fuzzy set (PFS) which is a direct extension of fuzzy set (FS) and intuitionistic fuzzy set (IFS). Wang et al. (2014) proposed intuitionistic linguistic number (ILN) as a combination of IFS and linguistic approach. Motivated by PFS and linguistic approach, this paper introduces the concept of picture linguistic number (PLN), which constitutes a generalization of ILN for picture circumstances.

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  • Trong bài báo này, chác tác giả lần đầu đưa ra khái niệm nhãn ngôn ngữ trực cảm. Khái niệm này sẽ có lợi khi gộp các thông tin cho dưới dạng một cặp nhãn ngôn ngữ, trong đó, nhãn đầu tiên diễn tả độ thuộc, nhãn còn lại diễn tả độ không thuộc như trong lý thuyết tập mờ trực cảm. Sau đó, vài toán tử tích hợp thông tin ngôn ngữ trực cảm được giới thiệu.

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  • Abstract Amulti-attribute group decisionmakingmethod composed of intuitionistic fuzzy set and TOPSIS will be introduced into project material bidding procurement. First, the opinions of experts about bidders and indicators’ attributes are expressed by linguistic terms, and then turned into intuitionistic fuzzy numbers, which can be used to obtain the weights of the indicators’ attributes and experts. Based on the opinions of decision makers and IFWA operators, an aggregated intuitionistic fuzzy decision matrix is formulated. In the end, the bidders are ranked by TOPSIS method....

    pdf0p taurus23 25-09-2012 49 8   Download



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