Fuzzy prime ideals in -rings.
Fuzzy -algebras with interval-valued membership functions.
Fuzzy quantum logics.
Quantum logic is a particular example of a fuzzy quantum logic. QL is semantically characterized by the class of all quantum MV algebras. The standard quantum MV algebra is based on the set of all effects in a Hilbert space. From the physical point of view, effects represent physical properties that may be noisy and ambiguous.
Fuzzy random events and their corresponding conditional probability measures.
Fuzzy relation equation under a class of triangular norms: A survey and new results.
By substituting the classical lattice operator min of the unit real interval with a triangular norm of Schweizer and Sklar, the usual fuzzy relational equations theory of Sanchez can be generalized to wider theory of fuzzy equations. Considering a remarkable class of triangular norms, for such type of equations defined on finite sets, we characterize the upper an lower solutions.We also characterize the solutions posessing a minimal fuzziness measure of Yager valued with respect to a triangular...
Fuzzy relation equations under LSC and USC t-norms and their Boolean solutions.
This paper follows a companion paper (Stochastica 8 (1984), 99-145) in which we gave the state of the art of the theory of fuzzy relation equations under a special class of triangular norms. Here we continue this theory establishing new results under lower and upper semicontinuous triangular norms and surveying on the main theoretical results appeared in foregoing papers. Max-t fuzzy equations with Boolean solutions are recalled and studied. Many examples clarify the results established.
Fuzzy set theory for cumulative trauma prediction.
A widely used fuzzy reasoning algorithm was modified and implemented via an expert system to assess the potential risk of employee repetitive strain injury in the workplace. This fuzzy relational model, known as the Priority First Cover Algorithm (PFC), was adapted to describe the relationship between 12 cumulative trauma disorders (CTDs) of the upper extremity, and 29 identified risk factors. The algorithm, which finds a suboptimal subset from a group of variables based on the criterion of priority,...
Fuzzy sets and non-complete 1-hypergroups.
Fuzzy sets as set classes.
Fuzzy sets have been studied in various forms. We now offer a presentation of fuzzy sets whereby they are conceived as representatives of a whole class of sets (that are themselves subsets of the universe of objects on which the fuzzy set is defined).
Fuzzy sets in computer vision: an overview.
Every computer vision level crawl with uncertainty, what makes its management a significant problem to be considered and solved when trying for automated systems for scene analysis and interpretation. This is why fuzzy set theory and fuzzy logic is making many inroads into the handling of uncertainty in various aspects of image processing and computer vision.The growth within the use of fuzzy set theory in computer vision is keeping pace with the use of more complex algorithms addressed to solve...
Fuzzy sets in pattern recognition, image analysis and automatic speech recognition
Fuzzy set theory, a recent generalization of classical set theory, has attracted the attention of researchers working in various areas including pattern recognition, which has had a seminal influence in the development of this new theory. This paper attempts to discuss some of the methodologies that have been suggested for pattern recognition, and techniques for image processing and speech recognition.
Fuzzy sets (in)equations with a complete codomain lattice
The paper applies some properties of the monotonous operators on the complete lattices to problems of the existence and the construction of the solutions to some fuzzy relational equations, inequations, and their systems, taking a complete lattice for the codomain lattice. The existing solutions are extremal - the least or the greatest, thus we prove some extremal problems related to fuzzy sets (in)equations. Also, some properties of upper-continuous lattices are proved and applied to systems of...
Fuzzy similarity measure for generalized fuzzy numbers.
Fuzzy situational inference for expert systems with fuzzy logic
Fuzzy structures of PI() BCK-ideals in hyper BCK-algebras.
Fuzzy termination criteria in Knapsack Problem algorithms.
Fuzzy rule based termination criteria are introduced in two conventional and exact algorithms solving Knapsack Problems. As a consequence two new solution algorithms are obtained. These algorithms are heuristic ones with a high performance. The efficiency of the algorithms obtained is illustrated by solving some numerical examples.
Fuzzy TL-uniform spaces.
Fuzzy topologies
Fuzzy versus probabilistic benefit/cost ratio analysis for public work projects
The benefit/cost (B/C) ratio method is utilized in many government and public work projects to determine if the expected benefits provide an acceptable return on the estimated investment and costs. Many authors have studied probabilis- tic cash flows in recent years. They introduced some analytical methods which determine the probability distribution function of the net present value and in- ternal rate of return of a series of random discrete cash flows. They considered serially correlated cash...
Fuzzy weighted average as a fuzzified aggregation operator and its properties
The weighted average is a well-known aggregation operator that is widely applied in various mathematical models. It possesses some important properties defined for aggregation operators, like monotonicity, continuity, idempotency, etc., that play an important role in practical applications. In the paper, we reveal whether and in which way such properties can be observed also for the fuzzy weighted average operator where the weights as well as the weighted values are expressed by noninteractive fuzzy...