The fuzzy Induced Generalized OWA Operator and its Application in Business Decision Making

We present the fuzzy induced generalized OWA (FIGOWA) operator. It is an aggregation operator that uses the main characteristics of the fuzzy OWA (FOWA) operator, the induced OWA (IOWA) operator and the generalized OWA (GOWA) operator. Therefore, it uses uncertain information represented in the form of fuzzy numbers, generalized means and order inducing variables. The main advantage of this operator is that it includes a wide range of mean operators in the same formulation such as the FOWA, the IOWA, the GOWA, the induced GOWA, the fuzzy IOWA, the fuzzy generalized mean, etc. We study some of its main properties. A further generalization by using quasi-arithmetic means is also presented. This operator is called Quasi-FIOWA operator. We also develop an application of the new approach in a strategic decision making problem. Keywords— Decision making; OWA operator; Aggregation operators; Fuzzy numbers. operator which is a further generalization of the IGOWA operator by using quasi-arithmetic means. Going a step further, in this paper we present the fuzzy induced generalized OWA operator which generalizes the FN-IOWA by using generalized means. We will call it the fuzzy induced generalized OWA (FIGOWA) operator. Then, we are able to obtain a wide range of fuzzy induced aggregation operators such as the FN-IOWA, the FN-IOWG operator and the FN-IOWQA operator, among others. We study some of the main properties of this generalization and we extend it to a more general formulation by using quasi- arithmetic means. The result is the Quasi-FIOWA operator. We also develop an application of the new approach in a decision making problem about selection of strategies. This paper is organized as follows. In Section 2, we briefly review some basic concepts such as FN, the FN-IOWA and the IGOWA operator. Section 3 presents the FIGOWA operator and Section 4 studies some of its families. In Section 5 we briefly present the Quasi-FIOWA operator and in Section 6, we develop an application of the new approach in a strategic decision making problem. 2 Preliminaries

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