Decision analysis under uncertainty for e-learning environment

In this paper, we discuss the notions of fuzzy sets and fuzzy IC-Bags as well as propose a soft decision analysis methodology for analysing student performance measures and investigate its applicability within the framework of elearning where, in the absence of face-to-face interaction, often it is necessary to rely considerably on the frequencies and characteristics of interactions of the learners with a pre-defined set of learning objects included in the process

Neutrosophic SuperHyperAlgebra and New Types of Topologies

In general, a system S (that may be a company, association, institution, society, country, etc.) is formed by sub-systems Si { or P(S), the powerset of S }, and each sub-system Si is formed by sub-sub-systems Sij { or P(P(S)) = P2(S) } and so on. That’s why the n-th PowerSet of a Set S { defined recursively and denoted by Pn(S) = P(Pn-1(S) } was introduced, to better describes the organization of people, beings, objects etc. in our real world. The n-th PowerSet was used in defining the SuperHyperOperation, SuperHyperAxiom, and their corresponding Neutrosophic SuperHyperOperation, Neutrosophic SuperHyperAxiom in order to build the SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra. In general, in any field of knowledge, one in fact encounters SuperHyperStructures. Also, six new types of topologies have been introduced in the last years (2019-2022), such as: Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, NeutroTopology, AntiTopology, SuperHyperTopology, and Neutrosophic SuperHyperTopology

A practical development of multi-attribute decision making using fuzzy set theory

The foundations of multi-attribute utility theory are reviewed and compared with the author's practical experience and other psychological studies of decision-making. The case is presented for a new approach to decision-making, moving away from the strictly numerical techniques. Instead of concentrating on the normative or descriptive aspects of decision-making, themed-problem of decision-making is studied, thereby giving the decision-maker more control over the decision-making process and ensuring a more truly participative approach to design and decision-making. The problem of uncertainty is also tackled by considering it from both the stochastic and fuzzy standpoints. A revised approach to the assessment of uncertainty and its incorporation in the decision-making process is advocated. The theoretical framework behind these ideas is expressed using fuzzy set theory. Previous attempts to apply fuzzy set theory to multi-attribute decision-making are reviewed and criticised for their failure to tackle the basic assumptions of multi-attribute utility theory. A practical methodology for using verbal descriptions is derived, and illustrated with a worked example. A practical description of how to apply the method is included, and the results of some applications are presented

On Yager's theory of bags and fuzzy bags

In the present paper, the bag structure viewed by Yager is studied. Complementation of bags and fuzzy bags is done, Cartesian product of bags is defined and some propositions are proved

The Whitworthian 1978-1979

The Whitworthian student newspaper, September 1978-May 1979.https://digitalcommons.whitworth.edu/whitworthian/1062/thumbnail.jp

The Whitworthian 1983-1984

The Whitworthian student newspaper, September 1983-May 1984.https://digitalcommons.whitworth.edu/whitworthian/1067/thumbnail.jp