Fuzzy Information and Engineering

Du, Wen-Sheng; Hu, Bao-Qing

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.09.001

AbstractIn recent years, many methods have been proposed in order to deal with inconsistent information systems based on indiscernibility relations in rough set theory. However, a little attention has been paid to inconsistent ordered decision tables. In this paper, the concept of allocation reductions is proposed in inconsistent ordered decision tables. And an approach to computing this kind of reductions is then presented by introducing the discernibility matrix and discernibility function. Moreover, the relationship is investigated between the allocation reduction and the -upper (-lower) approximate distribution reduction in inconsistent ordered decision tables with a single decision attribute. A fictitious numerical example is employed to substantiate the conceptual argument throughout the paper.

Tudu, B.; Ghosh, S.; Bag, A.K.; Ghosh, D.; Bhattacharyya, N.; Bandyopadhyay, R.

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.09.002

AbstractA novel incremental algorithm based on fuzzy-c-means (FCM) method is proposed and implemented to effectively cluster data obtained from an electronic nose for black tea quality evaluation. The algorithm segregates data generated with the electronic nose from different batches of black tea into clusters with similar features, without requiring to access previously collected data. This feature of appending information exclusively from fresh data points entitles the algorithm to overcome catastrophic interference phenomenon common to conventional pattern recognition techniques.

Prince Williams, D.R.; Saeid, Arsham Borumand; Feng, Feng

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.09.003

AbstractSoft set theory plays a vital role in solving many complicated problems with inherited uncertainty. An -ary algebraic systems is a generalization of algebraic structures and it is the most natural way for the further development, deeper understanding of their properties. In this paper, we apply soft set theory to an -ary algebraic systems and introduce the notions of soft -ary groups and soft -ary subgroups. Further, some operations on soft sets are extended to the former. Finally, we provide the characterization of soft -ary subgroups over an -ary group   and study their related properties.

Bag, T.

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.09.004

AbstractIdeas of fuzzy T-Kannan & fuzzy T-Chatterjea type contractive mappings in fuzzy cone metric space are introduced and some fixed point theorems are established for such type of mappings in this paper.

Rashmanlou, Hossein; Samanta, Sovan; Pal, Madhumangal; Borzooei, Rajab Ali

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.09.005

AbstractThe main purpose of this paper is to show the rationality of some operations, defined or to be defined, on intuitionistic fuzzy graphs. Firstly, three kinds of new product operations (called direct product, lexicographic product, and strong product) are defined in intuitionistic fuzzy graphs, and some important notions on intuitionistic fuzzy graphs are demonstrated by characterizing these notions and their level counterparts graphs such as intuitionistic fuzzy complete graph, cartesian product of intuitionistic fuzzy graphs, composition of intuitionistic fuzzy graphs, union of intuitionistic fuzzy graphs, and join of intuitionistic fuzzy graphs. As a result, a kind of representations of intuitionistic fuzzy graphs and intuitionistic fuzzy complete graphs are given. Next, categorical goodness of intuitionistic fuzzy graphs is illustrated by proving that the category of intuitionistic fuzzy graphs and homomorphisms between them is isomorphic-closed, complete, and co-complete.

Pal, Madhumangal

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.09.006

AbstractFuzzy matrix (FM) is a very important topic of fuzzy algebra. In FM, the elements belong to the unit interval . When the elements of FM are the subintervals of the unit interval , then the FM is known as interval-valued fuzzy matrix (IVFM). In IVFM, the membership values of rows and columns are crisp, i.e., rows and columns are certain. But, in many real life situations they are also uncertain. So to model these types of uncertain problems, a new type of interval-valued fuzzy matrices (IVFMs) are called interval-valued fuzzy matrices with interval-valued fuzzy rows and columns (IVFMFRCs). For these matrices, null, identity, equality, etc. are defined along with some binary operators. Complement and density of IVFMFRC are defined and several important properties are investigated. An application of IVFMFRC in image representation is also given.

Manjusha, O.T.; Sunitha, M.S.

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.09.007

AbstractIn this paper, the concept of strong domination number is introduced by using membership values of strong arcs in fuzzy graphs. The strong domination number of complete fuzzy graph and complete bipartite fuzzy graph is determined and bounds is obtained for the strong domination number of fuzzy graphs. Also the relationship between the strong domination number of a fuzzy graph and that of its complement are discussed.

Roy, Sankar Kumar; Bera, Susanta

2015 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.09.008

AbstractThe approximation of soft set is presented in modified soft rough (MSR) approximation space in this paper, i.e., approximation of an information system with respect to another information one. Besides, the concept of rough soft set is introduced in a modified soft rough approximation space. Various properties are studied like subset, union, intersection on rough soft set with some propositions presented on rough soft set. Moreover, the measure of roughness of soft set is defined in MSR-approximation space and the order relation is introduced on soft set. Furthermore, lattice theory is studied in the MSR-approximation space under a modified rough soft environment. Finally, some realistic examples are considered to usefulness and illustrate of the paper.