International Journal of Intelligent Systems

Cover image for Vol. 29 Issue 9

Edited By: Ronald R. Yager

Impact Factor: 1.416

ISI Journal Citation Reports © Ranking: 2012: 49/115 (Computer Science Artificial Intelligence)

Online ISSN: 1098-111X

Most Cited


Read the most cited articles published since 2009


Generalized aggregation operators for intuitionistic fuzzy sets
Zhao, Hua; Xu, Zeshui; Ni, Mingfang; et al.

The generalized ordered weighted averaging (GOWA) operators are a new class of operators, which were introduced by Yager (Fuzzy Optim Decision Making 2004;3:93–107). However, it seems that there is no investigation on these aggregation operators to deal with intuitionistic fuzzy or interval-valued intuitionistic fuzzy information. In this paper, we first develop some new generalized aggregation operators, such as generalized intuitionistic fuzzy weighted averaging operator, generalized intuitionistic fuzzy ordered weighted averaging operator, generalized intuitionistic fuzzy hybrid averaging operator, generalized interval-valued intuitionistic fuzzy weighted averaging operator, generalized interval-valued intuitionistic fuzzy ordered weighted averaging operator, generalized interval-valued intuitionistic fuzzy hybrid average operator, which extend the GOWA operators to accommodate the environment in which the given arguments are both intuitionistic fuzzy sets that are characterized by a membership function and a nonmembership function, and interval-valued intuitionistic fuzzy sets, whose fundamental characteristic is that the values of its membership function and nonmembership function are intervals rather than exact numbers, and study their properties. Then, we apply them to multiple attribute decision making with intuitionistic fuzzy or interval-valued intuitionistic fuzzy information. Read the entire abstract.

Volume 25, Issue 1, pages 1–30, January 2010

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Induced aggregation operators in decision making with the Dempster-Shafer belief structure
Merigo, J. M.; Casanovas, M.

In this study, we analyze the induced aggregation operators. The analysis begins with a revision of some basic concepts such as the induced ordered weighted averaging operator and the induced ordered weighted geometric operator. We then analyze the problem of decision making with Dempster-Shafer (D-S) theory of evidence. Read the entire abstract.

me 24, Issue 8, pages 934–954, August 2009

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Group decision making with incomplete fuzzy linguistic preference relations
Alonso, S.; Cabrerizo, F. J.; Chiclana, F.; et al.

The aim of this paper is to propose a procedure to estimate missing preference values when dealing with incomplete fuzzy linguistic preference relations assessed using a two-tuple fuzzy linguistic approach. This procedure attempts to estimate the missing information in an individual incomplete fuzzy linguistic preference relation using only the preference values provided by the respective expert. Read the entire abstract.

Volume 24, Issue 2, pages 201–222, February 2009

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The uncertain induced quasi-arithmetic OWA operator
Merigo, J. M.; Casanovas, M.

We present the uncertain induced quasi-arithmetic OWA (Quasi-UIOWA) operator. It is an extension of the OWA operator that uses the main characteristics of the induced OWA (IOWA), the quasi-arithmetic OWA (Quasi-OWA) and the uncertain OWA (UOWA) operator. Thus, this generalization uses quasi-arithmetic means, order inducing variables in the reordering process and uncertain information represented by interval numbers. Read the entire abstract.

Volume 26, Issue 1, pages 1–24, January 2011

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Induced choquet ordered averaging operator and its application to group decision making
Tan, Chunqiao; Chen, Xiaohong

Yager (Fuzzy Sets Syst 2003;137:59–69) extended the idea of order-induced aggregation to the Choquet aggregation and defined a more general type of Choquet integral operator called the induced Choquet ordered averaging (I-COA) operator, which take as their argument pairs, in which one component called order-inducing variable is used to induce an ordering over the second components called argument variable and then aggregated. The aim of this paper is to develop the I-COA operator. Some of its properties are investigated. We show its relationship to the induced-ordered weighted averaging operator. Read the entire abstract.

Volume 25, Issue 1, pages 59–82, January 2010

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Towards a general and unified characterization of individual and collective choice functions under fuzzy and nonfuzzy preferences and majority via the ordered weighted average operators
Kacprzyk, Janusz; Zadrozny, Slawomir

A fuzzy preference relation is a powerful and popular model to represent both individual and group preferences and can be a basis for decision-making models that in general provide as a result a subset of alternatives that can constitute an ultimate solution of a decision problem. To arrive at such a final solution individual and/or group choice rules may be employed. There is a wealth of such rules devised in the context of the classical, crisp preference relations. Read the entire abstract.

Volume 24, Issue 1, pages 4–26, January 2009

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Generalized ordered weighted logarithm aggregation operators and their applications to group decision making
Zhou, Li-Gang; Chen, Hua-you

We present the generalized ordered weighted logarithm averaging (GOWLA) operator based on an optimal deviation model. It is a new aggregation operator that generalizes the ordered weighted geometric averaging (OWGA) operator. This operator adds to the OWGA operator an additional parameter. controlling the power to which the arguments are raised. Read the entire abstract.

Volume 25, Issue 7, pages 683–707, July 2010

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Hesitant fuzzy sets
Torra, Vicenc

Several extensions and generalizations of fuzzy sets have been introduced in the literature, for example, Atanassov's intuitionistic fuzzy sets, type 2 fuzzy sets, and fuzzy multisets. In this paper, we propose hesitant fuzzy sets. Although from a formal point of view, they can be seen as fuzzy multisets, we will show that their interpretation differs from the two existing approaches for fuzzy multisets. Because of this, together with their definition, we also introduce some basic operations. Read the entire abstract.

Volume 25, Issue 6, pages 529–539, June 2010

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Fuzzy harmonic mean operators
Xu, Zeshui

Harmonic mean is a conservative average, which is widely used to aggregate central tendency data. In the existing literature, the harmonic mean is generally considered as a fusion technique of numerical data information. In this paper, we investigate the situations in which the input data are expressed in fuzzy values and develop some fuzzy harmonic mean operators, such as fuzzy weighted harmonic mean operator, fuzzy ordered weighted harmonic mean operator, fuzzy hybrid harmonic mean operator, and so on. Read the entire abstract.

Volume 24, Issue 2, pages 152–172, February 2009

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Some remarks on the LSOWA approach for obtaining OWA operator weights
Ahn, Byeong Seok

One of the key issues in the theory of ordered-weighted averaging (OWA) operators is the determination of their associated weights. To this end, numerous weighting methods have appeared in the literature, with their main difference occurring in the objective function used to determine the weights. A minimax disparity approach for obtaining OWA operator weights is one particular case, which involves the formulation and solution of a linear programming model subject to a given value of orness and the adjacent weight constraints. It is clearly easier for obtaining the OWA operator weights than from previously reported OWA weighting methods. However, this approach still requires solving linear programs by a conventional linear program package. Here, we revisit the least-squared OWA method, which intends to produce spread-out weights as much as possible while strictly satisfying a predefined value of orness, and we show that it is an equivalent of the minimax disparity approach. The proposed solution takes a closed form and thus can be easily used for simple calculations. Read the entire abstract.

Volume 24, Issue 12, pages 1265–1279, December 2009

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