Fuzzy Information and Engineering

Ajmal, Naseem; Jahan, Iffat

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2014.06.001

AbstractIn this paper, the notion of commutator is modified and extended to -setting. Also, the notion of descending central series is introduced which is used to formulate the important notion of nilpotent -subgroup of an -group. Moreover, the level subset characterization for the notion of nilpotent -subgroup is provided.

Yang, Yong-Wei; He, Peng-Fei; Xin, Xiao-Long

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2014.06.002

AbstractQuality identification of wines is a crucial one for wine industry. The paper aims to give a decision making approach based on soft fuzzy sets for it. First, based on fuzzy soft sets, calculation steps are given to solve decision making problems. The grey relative coefficient between each alternative with the ideal alternative is calculated by grey relational analysis (GRA). Then, a relative relational degree is defined to determine ranking orders of all alternatives. Finally, an application of our proposed approach demonstrates its practicality and effectiveness in the quality identification of red wines.

Ravi, K.M.; Choubey, A.; Tripati, K.K.

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2014.06.003

AbstractThis paper introduces an intuitionistic fuzzy automaton model for computing the similarity between pairs of strings. The model details the possible edit operations needed to transform any input (observed) string into a target (pattern) string by providing a membership and non-membership value between them. In the end, an algorithm is given for approximate string matching and the proposed model computes the similarity and dissimilarity between the pair of strings leading to better approximation.

Jose, Anjaly; Mathew, Sunil C.

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2014.06.004

AbstractIn this paper, we extend the concept of invertibility to -topological spaces and delineate its properties. Then, we study further completely invertible -topological spaces and introduce two types of invertible -topologies based on the inverting maps, studying their sums, subspaces and simple extensions.

Agarwal, Shivi

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2014.06.005

AbstractData envelopment analysis (DEA) is a non-parametric technique to measure the relative efficiencies of a set of decision making units (DMUs) with common crisp inputs and outputs. Input and output data of DMUs often fluctuate. These fluctuating data can be represented as linguistic variable characterized by fuzzy numbers. This paper attempts to extend the traditional DEA model to a fuzzy framework, thus proposing a fuzzy DEA model based on -cut approach to deal with the efficiency measuring and ranking problem with the given fuzzy input and output data. Finally, a numerical example is presented to illustrate the fuzzy DEA model. Since the efficiency measures are expressed by membership functions rather than by crisp values, more information is provided for management. By extending to fuzzy environment, the DEA approach is made more powerful for application.

Nazmul, S.; Samanta, S.K.

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2014.06.006

AbstractNotions of Lowen type fuzzy soft topological space are introduced and some of their properties are established in the present paper. Besides this, a combined structure of a fuzzy soft topological space and a fuzzy soft group, which is termed here as fuzzy soft topological group is introduced. Homomorphic images and preimages are also examined. Finally, some definitions and results on fuzzy soft set are studied.

Tiwari, S.P.; Sharan, Shambhu; Yadav, Vijay K.

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2014.06.007

AbstractThis paper investigates the relationship among fuzzy rough sets, fuzzy closure spaces and fuzzy topology. It is shown that there exists a bijective correspondence between the set of all fuzzy reflexive approximation spaces and the set of all quasi-discrete fuzzy closure spaces satisfying a certain extra condition. Similar correspondence is also obtained between the set of all fuzzy tolerance approximation spaces and the set of all symmetric quasi-discrete fuzzy closure spaces satisfying a certain extra condition.

Mandal, Debabrata

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2014.06.008

AbstractThe notions of fuzzy ideals and fuzzy interior ideals in ordered semirings are introduced and some of their characterizations are obtained through regularity criterion and with some operations on them.

Kalaivani, C.; Roopkumar, R.

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2014.06.009

AbstractWe point out that the product of two fuzzy closed sets of smooth fuzzy topological spaces need not be fuzzy closed with respect to the the existing notion of product smooth fuzzy topology. To get this property, we introduce a new suitable product smooth fuzzy topology. We investigate whether and are weakly smooth fuzzy continuity whenever , , and are weakly smooth fuzzy continuous. Using this new product smooth fuzzy topology, we define smooth fuzzy perfect mapping and prove that composition of two smooth fuzzy perfect mappings is smooth fuzzy perfect under some additional conditions. We also introduce two new notions of compactness called -compactness and --compactness; and discuss the compactness of the image of a -compact set (--compact set) under a weakly smooth fuzzy continuous function (-weakly smooth fuzzy continuous function).