The Black–Scholes Option pricing model (OPM) developed in 1973 has always been taken as the cornerstone of option pricing model. The generic applications of such a model are always restricted by its nature of not being suitable for fuzzy environment since the decision-making problems occurring in the area of option pricing are always with a feature of uncertainty. When an investor faces an opti...

A Gentzen-style L-formulation of the calculus of constructions is presented and proved equivalent to a natural deduction formulation based on that of [6]. The L-rules corresponding to the conversion rules of the natural deduction system are expansion rules. Cut elimination follows from the equivalence to the natural deduction formulation and the normalization theorem for the latter.

Existing search engines—with Google at the top—have many re­ markable capabilities; but what is not among them is deduction capability—the capability to synthesize an answer to a query from bodies of information which re­ side in various parts of the knowledge base. In recent years, impressive progress has been made in enhancing performance of search engines through the use of methods based on ...

One of the most important features of fuzzy set theory and fuzzy logic is their power to model semantics of a certain part of natural language. The results are further elaborated in topics such as computing with words which encompasses computing with fuzzy numbers, the theory of evaluating linguistic expressions as well as that of fuzzy IF-THEN rules and approximate reasoning. In the talk, we w...

following the idea of $l$-fuzzy neighborhood system as introduced byfu-gui shi, and its generalization to $(l,m)$-fuzzy neighborhood system, the relationship between  $(l,m)$-fuzzy topology and $(l,m)$-fuzzy neighborhood system will be further studied. as an application of the obtained results, we will describe the initial structures of $(l,m)$-fuzzy neighborhood subspaces and $(l,m)$-fuzzy top...

in this paper, we investigate the general fuzzy linear system of equations.  the  main aim of this paper is based on the embedding approach. we find the necessary and sufficient conditions for the existence of fuzzy solution of the mentioned systems.  finally, numerical examples are presented to more illustration of the proposed model.

Fuzzy set-based methods contribute to the formalization of different types of approximate reasoning, mainly in two ways. First, when modeling classes and properties, fuzzy sets naturally encode gradual properties, such as, e.g., 'large', whose satisfaction is a matter of degree and may be only partial for particular instances. Due to this ability, fuzzy sets are naturally entitled to capture in...

this paper introduces an indirect adaptive fuzzy sliding mode controller as a power system stabilizer for damping local and inter-area modes of oscillations of multi-machine power systems. this controller is designed based on the combination of sliding mode controller and the fuzzy logic systems. the fuzzy systems are used to approximate the unknown functions of power system model. generator sp...