In this paper, the Multiple Attribute Group Decision Making (MAGDM) problems is based on the attribute weights calculated from completely unknown information using the Maximal Entropy OWA weights. The interval-valued intuitionistic fuzzy ordered weighted averaging (IIFOWA) operator is utilized to aggregate all individual interval-valued intuitionistic fuzzy decision matrices provided by the dec...

The fuzzy k-Modes algorithm introduced by Huang and Ng [Huang, Z., & Ng, M. (1999). A fuzzy k-modes algorithm for clustering categorical data. IEEE Transactions on Fuzzy Systems, 7(4), 446–452] is very effective for identifying cluster structures from categorical data sets. However, the algorithm may stop at locally optimal solutions. In order to search for appropriate fuzzy membership matrices...

The aim of fuzzy risk analysis is to evaluate the probability of failure of every component consisting of many sub-components and the probability of failure is the combination of estimations of severity of loss and probability of failure of sub-components which are vaguely known. In this paper, we present a new method for fuzzy risk analysis with linguistic evaluating values. Firstly, we propos...

The definition of a D-admissible fuzzy subset for an operator domain D on a group G is modified to obtain new kinds of (∈,∈ ∨q)-fuzzy subgroups such as an (∈,∈ ∨q)-fuzzy normal subgroup, an (∈,∈ ∨q)-fuzzy characteristic subgroup, an (∈,∈ ∨q)fuzzy fully invariant subgroup which are invariant under D. As results, some of the fundamental properties of such (∈,∈ ∨q)−fuzzy subgroups are obtained.

In this work, we present definition of intuitionistic fuzzy parameterized (ifp) intuitionistic fuzzy soft set and its operations. Then we define ifp-aggregation operator to form ifp-intuitionistic fuzzy soft decision making method which allows constructing more efficient decision processes. Keyword 0.1 Soft set, intuitionistic fuzzy set, intuitionistic fuzzy soft set, intuitionistic fuzzy param...

In this paper a new aggregation operator for a class of LR Fuzzy Numbers i.e., Triangular Fuzzy Numbers (TFNs) in which the Land Rapex angles of the piecewise continuous linear membership function of the composite or resultant or aggregate TFN are the arithmetic means of the corresponding Land Rapex angles of the individual TFNs is proposed. The Land Rapex angles have been treated independently...

We develop a new model for fuzzy decision making based on the use of several sources of information in the analysis. We introduce the fuzzy unified aggregation operator (FUAO). It is an aggregation operator that unifies other aggregation operators in the same formulation and considering the degree of importance of each concept in the analysis. Moreover, it also deals with uncertain environments...

Evolutionary learning and especially genetic optimisation algorithms have recently received a lot of research attention as tools for identifying fuzzy models of the systems. Most often fuzzy modelling employ the fuzzy IF–THEN rules. In this paper, besides AND–operator the OR–operator is also considered in constructing the premise rule base. A genetic algorithm is utilised to find the premise st...

This present paper is an efficient solution to control the basis weight of paper in pulp and paper industry using a fuzzy logic controller. The traditional systems are based on operator’s experience and data provided by the mill. The decision of the operator is not exact but good enough or appropriate. Fuzzy Logic offers a promising solution to this conceptual design through fuzzy modeling. Fuz...

In accordance with Tarski point of view, in this chapter the theory of closure operators is proposed as a unifying tool for fuzzy logics. Indeed, let F be the set of formulas of a given language. Then an abstract fuzzy logic is defined by a fuzzy semantics (i.e. a class of valuations of the formulas in F) and by a closure operator in the lattice of the fuzzy subsets of F (we call deduction oper...