Fuzzy Information and Engineering

Sardar, Sujit Kumar; Pal, Pavel

2013 Fuzzy Information and Engineering

doi: 10.1007/s12543-013-0153-1

AbstractUsing fuzzy points the notions of prime fuzzy ideals and weakly prime fuzzy ideals of a Γ-semigroup have been introduced. Some important properties and characterizations of these ideals have been obtained. The concluding result shows that our work sharpens previous works on prime fuzzy ideals of Γ-semigroups.

Georgescu, Irina; Kinnunen, Jani

2013 Fuzzy Information and Engineering

doi: 10.1007/s12543-013-0154-0

AbstractThis paper attempts to treat some topics of risk theory by means of credibility theory. We study the risk aversion of an agent faced with a situation of uncertainty represented by a discrete fuzzy variable, the relationship between stochastic dominance and credibilistic dominance, and an index of riskiness of discrete credibilistic gambles. In the framework of an optimal saving credibilistic model, the way the presence of risk modifies the level of optimal saving is studied. The main tool of our investigation is an operator defined by B. Liu and Y. K. Liu by which to a discrete fuzzy variable one associates a discrete random variable with the same expected value as the former.

Vetro, Calogero; Salimi, Peyman

2013 Fuzzy Information and Engineering

doi: 10.1007/s12543-013-0155-z

AbstractWe consider the problem of finding a best proximity point which achieves the minimum distance between two nonempty sets in a non-Archimedean fuzzy metric space. First we prove the existence and uniqueness of the best proximity point by using different contractive conditions, then we present some examples to support our best proximity point theorems.

Mondal, Sanjib; Pal, Madhumangal

2013 Fuzzy Information and Engineering

doi: 10.1007/s12543-013-0156-y

AbstractIn this article, the similarity relations are studied, together with invertibility conditions and eigenvalues of intuitionistic fuzzy matrices (IFMs). Besides, idempotent, regularity, permutation matrix and spectral radius of IFMs are considered here with some properties and results for IFMs investigated.

Davvaz, B.; Jafarzadeh, M.

2013 Fuzzy Information and Engineering

doi: 10.1007/s12543-013-0157-x

AbstractIn this paper, we consider the notion of rough intuitionistic fuzzy sets and study their properties. We present an extension of rough set theory with the concept of intuitionistic fuzzy sets with several properties given. Moreover, we discuss the knowledge reduction of the classical Pawlak information systems and the intuitionistic fuzzy information systems, respectively.

Mishra, Jaydev; Ghosh, Sharmistha

2013 Fuzzy Information and Engineering

doi: 10.1007/s12543-013-0158-9

AbstractThe work in this paper is an application of vague set theory in relational databases. It is well known that integrity constraints like functional dependency, multivalued dependency, etc. play a key role in any database design. In the present work, the authors introduce a new definition of vague multivalued dependency (VMVD), called α-VMVD, on the basis of α-equality of tuples as defined in the recent work on vague functional dependency [1] in 2012. Next, the definition has been shown to be consistent and finally a set of sound and complete inference axioms have been designed and verified for the α-VMVD.

Gupta, Anila; Kumar, Amit; Sharma, Mahesh Kumar

2013 Fuzzy Information and Engineering

doi: 10.1007/s12543-013-0159-8

AbstractIn this paper, the limitations of existing methods to solve the problems of fuzzy assignment, fuzzy travelling salesman and fuzzy generalized assignment are pointed out. All these problems can be formulated in linear programming problems wherein the decision variables are represented by real numbers and other parameters are represented by fuzzy numbers. To overcome the limitations of existing methods, a new method is proposed. The advantage of proposed method over existing methods is demonstrated by solving the problems mentioned above which can or cannot be solved by using the existing methods.

Zhang, Gang-Qiang; Cui, Rong-Chen; Li, Zhao-Wen

2013 Fuzzy Information and Engineering

doi: 10.1007/s12543-013-0160-2

AbstractIn this paper, IVF approximation spaces are investigated wih new level sets of IVF sets defined and some decomposition theorems on IVF rough approximations given.