Fuzzy Information and Engineering

Senapati, Tapan; Kim, Chang Su; Bhowmik, Monoranjan; Pal, Madhumangal

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.05.001

AbstractIn this paper, the concept of cubic set to subalgebras, ideals and closed ideals of -algebras are introduced. Relations among cubic subalgebras with cubic ideals and cubic closed ideals of -algebras investigated. The homomorphic image and inverse image of cubic subalgebras, ideals are studied and some related properties are investigated. Also, the product of cubic -algebras are investigated.

Bag, T.; Samanta, S.K.

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.05.002

AbstractIn this paper, a concept of operator’s fuzzy norm is introduced for the first time in general -norm setting. Ideas of fuzzy continuous operators, fuzzy bounded linear operators are given with some properties of such operators studied in this general setting.

Pal, Pavel; Majumder, Samit Kumar; Davvaz, Bijan; Sardar, Sujit Kumar

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.05.003

AbstractIn this paper, the notions of fuzzy subsemigroups and fuzzy bi-ideals of a po--semigroup are introduced with some of their important properties investigated. We obtain some characterizations of regular, intra-regular po--semigroups in terms of fuzzy bi-ideals. We also give a pointwise characterization of fuzzy regular subsemigroups in a po--semigroup.

Xie, Ning-Xin

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.05.004

AbstractRough approximation operators in approximation spaces are the core concept of rough set theory, which draw close links between rough set theory and topology. In this paper, we investigate rough approximation operators, study IF topologies induced by reflexive IF relations and give topological properties of IF approximation spaces.

Jana, Chiranjibe; Senapati, Tapan; Bhowmik, Monoranjan; Pal, Madhumangal

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.05.005

AbstractIn this paper, the intuitionistic fuzzification of -subalgebras is considered with some related properties investigated and some characterization of intuitionistic fuzzy -algebras given. The -subalgebras are classified by their family of level subalgebras of -algebras.

Bhattacharyya, Rupak

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.05.006

AbstractIn this paper, the research and development (R&D) project portfolio selection problem is introduced as a multiple attribute decision making problem. Recognizing and modeling the project interdependencies provide valuable cost savings and other greater benefits to organizations. Therefore, besides conventional attributes like cost and outcome, different type of interdependencies are also considered as attributes. Since the decision makers’ preferences on the project alternatives or attributes are uncertain, a grey theory based method is proposed to cope with the uncertainty. correspondingly, the preferences and ratings of the attributes are described by linguistic variables, which are further expressed as grey numbers. Consequently, a ranking order of the projects is done using grey possibility degree and is used to determine the portfolio. To explore, an illustration is done by a case study. The methodology proposed here is shown to be an efficient approach to solve the R&D project portfolio selection problem.

Barik, S.K.

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.05.007

AbstractIn many real-life decision making problems, probabilistic fuzzy goal programming problems are used where some of the input parameters of the problem are considered as random variables with fuzzy aspiration levels. In the present paper, a linearly constrained probabilistic fuzzy goal programming programming problem is presented where the right hand side parameters in some constraints follows Pareto distribution with known mean and variance. Also the aspiration levels are considered as fuzzy. Further, simple, weighted, and preemptive additive approaches are discussed for probabilistic fuzzy goal programming model. These additive approaches are employed to aggregating the membership values and form crisp equivalent deterministic models. The resulting models are then solved by using standard linear mathematical programming techniques. The developed methodology and solution procedures are illustrated with a numerical example.

Jicy, N.; Mathew, Sunil

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.05.008

AbstractThe concepts of connectivity and cycle connectivity play an important role in fuzzy graph theory. In this article, cyclic cutvertices, cyclic bridges and cyclically balanced fuzzy graphs are discussed. It is proved that a vertex in a fuzzy graph is a cyclic cutvertex if and only if it is a common vertex of all strong cycles with maximum strength. Also a cyclic cutvertex cannot be a fuzzy endvertex in a fuzzy graph. A characterization of cyclically balanced fuzzy graphs is obtained. Cyclic vertex connectivity and cyclic edge connectivity of fuzzy graphs are also discussed.

Zahmatkesh, Faezeh; Kheiri, Zeinab

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.05.009