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Xu Z.,Nanjing Southeast University | Xu Z.,PLA University of Science and Technology
Knowledge-Based Systems | Year: 2011

Intuitionistic fuzzy numbers (IFNs) are very suitable to be used for depicting uncertain or fuzzy information. Motivated by the idea of power aggregation [R.R. Yager, The power average operator, IEEE Transactions on Systems, Man, and Cybernetics-Part A 31 (2001) 724-731], in this paper, we develop a series of operators for aggregating IFNs, establish various properties of these power aggregation operators, and then apply them to develop some approaches to multiple attribute group decision making with Atanassov's intuitionistic fuzzy information. Moreover, we extend these aggregation operators and decision making approaches to interval-valued Atanassov's intuitionistic fuzzy environments. © 2011 Published by Elsevier B.V.


Zhao X.,PLA University of Science and Technology
IEEE Transactions on Antennas and Propagation | Year: 2012

Remote sensing of the atmospheric refractivity structure using signal strengthmeasurements froma single emitter to an array of radio receivers has been proposed as a promising way for refractivity estimation.As a complement to the pioneers' published works, this paper focuses on addressing the problem of simultaneously estimating the evaporation duct height and localizing the source's position. The problem is organized as a multi-parameter optimization issue and genetic algorithm is adopted to search for the optimal solution from various trial parameters. The performance is determined via numerical simulations and mainly evaluated as a function of: 1) the geometry of the receiver array; 2) the transmitting frequency; and 3) the noise in the measurements. © 2011 IEEE.


Xia M.,Tsinghua University | Xu Z.,PLA University of Science and Technology | Liao H.,Shanghai JiaoTong University
IEEE Transactions on Fuzzy Systems | Year: 2013

Preference relations are powerful techniques to express the preferences over alternatives (or criteria) and mainly fall into two categories: fuzzy preference relations (also called reciprocal preference relations) and multiplicative preference relations. For a pair of alternatives, a fuzzy preference relation only gives the degree that an alternative is prior to another; thus, the intuitionistic fuzzy preference relation is introduced by adding the degree that an alternative is not prior to another, which can describe the preferences over two alternatives more comprehensively. However, the intuitionistic fuzzy preference uses the symmetrical scale to express the decision makers' preference relations, which are inconsistent with our intuition in some situations. If we use the unsymmetrical scale to express the preferences about two alternatives instead of the symmetrical scale in intuitionistic fuzzy preference relation, then a new concept is introduced, which we call the intuitionistic multiplicative preference relation reflecting our intuition more objectively. In this paper, we study the aggregation of intuitionistic multiplicative preference information, propose some aggregation techniques, investigate their properties, and apply them to decision making based on intuitionistic multiplicative preference relations. © 2012 IEEE.


Xu Z.,PLA University of Science and Technology
IEEE Transactions on Fuzzy Systems | Year: 2013

An intuitionistic multiplicative preference relation was recently introduced by Xia et al. to characterize the preference information that is given by a decision maker over a set of objects. All the elements of the intuitionistic multiplicative preference relation are the 2-tuples, which can simultaneously depict the degree that one object is prior to another, and the degree that the object is not prior to another. Each part of the 2-tuples takes its value from the closed interval [1/9, 9], and thus can describe the decision maker's preferences over objects more comprehensively than the traditional multiplicative preference relation. How to derive the priority weights of the objects from an intuitionistic multiplicative preference relation is an important research topic for decision making with intuitionistic multiplicative preference information. In this paper, we shall focus on solving this issue. We first define the concepts of expected intuitionistic multiplicative preference relation, left and right error matrices, etc. Then based on the geometric aggregation operator and the error propagation formula, we derive the priority weight intervals from an intuitionistic multiplicative preference relation. After that, some approaches to decision making based on intuitionistic multiplicative preference relations are developed, and furthermore, two practical examples are given to illustrate our approaches. © 1993-2012 IEEE.


Xu Z.,Shanghai JiaoTong University | Xu Z.,PLA University of Science and Technology
Information Sciences | Year: 2010

The Choquet integral is a very useful way of measuring the expected utility of an uncertain event [G. Choquet, Theory of capacities, Annales de l'institut Fourier 5 (1953) 131-295]. In this paper, we use the Choquet integral to propose some intuitionistic fuzzy aggregation operators. The operators not only consider the importance of the elements or their ordered positions, but also can reflect the correlations among the elements or their ordered positions. It is worth pointing out that most of the existing intuitionistic fuzzy aggregation operators are special cases of our operators. Moreover, we propose the interval-valued intuitionistic fuzzy correlated averaging operator and the interval-valued intuitionistic fuzzy correlated geometric operator to aggregate interval-valued intuitionistic fuzzy information, and apply them to a practical decision-making problem involving the prioritization of information technology improvement projects. © 2009 Elsevier Inc. All rights reserved.

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