Decision on alternative-fuel vehicles is one of the most important problems for fleet operations. In this paper we propose a hierarchical hesitant fuzzy linguistic model that captures hesitant linguistic evaluations of multiple experts on multiple criteria for alternative-fuel vehicles. We apply the proposed model on the alternative-fuel vehicle selection problem of a home health care service p...

Genetic algorithms (GAs) are a highly effective and efficient means of solving optimization problems. Gene encoding, fitness landscape and genetic operations are vital to successfully developing a GA. F. Cheong and R. Lai (see ibid., vol. 30, p. 31-46 (2000)) described a novel method, which employed an enhanced genetic algorithm with multiple populations, to optimize a fuzzy controller, and the...

In this paper we introduce a procedure, based on the Max-Min clustering method, that identiies a xed order of training pattern presentation for Fuzzy ARTMAP. This procedure is referred to as the Ordering Algorithm, and the combination of this procedure with Fuzzy ARTMAP is referred to as Ordered Fuzzy ARTMAP. Experimental results demonstrate that Ordered Fuzzy ARTMAP exhibits a generalization p...

To select an optimal investment enterprise is the key to effectively reduce the investment risk for an investment company. In this paper, the author studies the problem of optimal investment enterprise selection decision under uncertain information environment (fuzzy information and grey information coexist), and present a fuzzy grey multi-attribute group decision making model to select the opt...

In this paper we introduce a procedure, based on the max-min clustering method, that identifies a fixed order of training pattern presentation for fuzzy adaptive resonance theory mapping (ARTMAP). This procedure is referred to as the ordering algorithm, and the combination of this procedure with fuzzy ARTMAP is referred to as ordered fuzzy ARTMAP. Experimental results demonstrate that ordered f...

Superposition is a mapping on point configurations that sends the n-tuple (x1, . . . , xn) ∈ X into the n-point configuration {x1, . . . , xn} ⊂ X , counted with multiplicity. It is an additive set operation such the superposition of a k-point configuration in X is a kn-point configuration in X . A Poisson superposition process is the superposition in X of a Poisson process in the space of fini...

Preference modelling and choice theory are common to many di erent areas including operational research, economics, arti cial intelligence and social choice theory. We consider \vague preferences" and introduce a new technique to model this vagueness with the aim of making a choice at the nal stage. Our basic tools of modelling will be fuzzy relations and interval valued fuzzy sets. Speci cally...

In this paper, the concept of intuitionistic fuzzy mapping as a generalization of fuzzy mapping is presented, and its' relationship with intuitionistic fuzzy relations is derived. Moreover, some basicoperations of intuitionistic fuzzy mappings are defined, hence we can conclude that all of intuitionistic fuzzy mappings constitute a soft algebrawith respect to these operations. Afterwards, the A...

Definition 1: An operation on a set G is a function ∗ : G×G→ G. Definition 2: A group is a set G which is equipped with an operation ∗ and a special element e ∈ G, called the identity, such that (i) the associative law holds: for every x, y, z ∈ G, x ∗ (y ∗ z) = (x ∗ y) ∗ z; (ii) e ∗ x = x = x ∗ e for all x ∈ G; (iii) for every x ∈ G, there is x′ ∈ G (so-called, inverse) with x ∗ x′ = e = x′ ∗ ...