955 research outputs found
Solving P - Norm Intuitionistic Fuzzy Programming Problem
In this paper, notion of p - norm generalized trapezoidal intuitionistic
fuzzy numbers is introduced. A new ranking method is introduced for p - norm
generalized trapezoidal intuitionistic fuzzy numbers. Also we consider linear
programming problem in intuitionistic fuzzy environment. In this problem, all
the coefficients and variables are represented by p - norm generalized
trapezoidal intuitionistic fuzzy numbers. To overcome the limitations of the
existing methods, a new method is proposed to compute the intuitionistic fuzzy
optimal solution for intuitionistic fuzzy linear programming problem. An
illustrative numerical example is solved to demonstrate the efficiency of the
proposed approach.Comment: some erro
Convex and Concave Soft Sets and Some Properties
In this study, after given the definition of soft sets and their basic
operations we define convex soft sets which is an important concept for
operation research, optimization and related problems. Then, we define concave
soft sets and give some properties for the concave sets. For these, we will use
definition and properties of convex-concave fuzzy sets in literature. We also
give different some properties for the convex and concave soft sets
The Combination of Paradoxical, Uncertain, and Imprecise Sources of Information based on DSmT and Neutro-Fuzzy Inference
The management and combination of uncertain, imprecise, fuzzy and even
paradoxical or high conflicting sources of information has always been, and
still remains today, of primal importance for the development of reliable
modern information systems involving artificial reasoning. In this chapter, we
present a survey of our recent theory of plausible and paradoxical reasoning,
known as Dezert-Smarandache Theory (DSmT) in the literature, developed for
dealing with imprecise, uncertain and paradoxical sources of information. We
focus our presentation here rather on the foundations of DSmT, and on the two
important new rules of combination, than on browsing specific applications of
DSmT available in literature. Several simple examples are given throughout the
presentation to show the efficiency and the generality of this new approach.
The last part of this chapter concerns the presentation of the neutrosophic
logic, the neutro-fuzzy inference and its connection with DSmT. Fuzzy logic and
neutrosophic logic are useful tools in decision making after fusioning the
information using the DSm hybrid rule of combination of masses.Comment: 20 page
Intertemporal Choice of Fuzzy Soft Sets
This paper first merges two noteworthy aspects of choice. On the one hand, soft sets and fuzzy soft sets are popular models that have been largely applied to decision making problems, such as real estate valuation, medical diagnosis (glaucoma, prostate cancer, etc.), data mining, or international trade. They provide crisp or fuzzy parameterized descriptions of the universe of alternatives. On the other hand, in many decisions, costs and benefits occur at different points in time. This brings about intertemporal choices, which may involve an indefinitely large number of periods. However, the literature does not provide a model, let alone a solution, to the intertemporal problem when the alternatives are described by (fuzzy) parameterizations. In this paper, we propose a novel soft set inspired model that applies to the intertemporal framework, hence it fills an important gap in the development of fuzzy soft set theory. An algorithm allows the selection of the optimal option in intertemporal choice problems with an infinite time horizon. We illustrate its application with a numerical example involving alternative portfolios of projects that a public administration may undertake. This allows us to establish a pioneering intertemporal model of choice in the framework of extended fuzzy set theorie
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