查看更多>>摘要：In this paper, the notion of fuzzy automata orbit structure spaces is introduced and the concepts of fuzzy automata orbit open subsystems and fuzzy automata orbit closed subsystems are studied with suitable examples. Also, the notions of fuzzy automata orbit co-kernel subsystems, fuzzy automata orbit kernel subsystems, fuzzy automata orbit meager * subsystems and fuzzy automata orbit comeager * subsystems are introduced and some of their properties are studied.
查看更多>>摘要：In this paper, we have obtained the relation between fuzzy prime ideal and prime fuzzy ideal of a lattice L. We have obtained a new characterization for an ideal to be a fuzzy prime ideal. We have shown that every prime fuzzy ideal is a fuzzy prime ideal but the converse need not to be true. Also, we introduce the notion of m -system and fuzzy m -system of lattice L. We have shown that if λ is a fuzzy ideal and γ is a fuzzy m -system of a lattice L such that λ∩γ=0, then there is a fuzzy prime ideal μ with λ≤μ and μ∩γ=0.
查看更多>>摘要：In this treatise, the concept of Smarandache fuzzy semiring structure spaces is intro-duced and new types of fuzzy sets called S-fuzzy paraopen, S-fuzzy paraclosed, S-fuzzy mean open and S-fuzzy mean closed semirings are introduced and some properties of such semirings are investigated. Moreover, the concepts of S-fuzzy semiring nearly compact spaces are studied via S -fuzzy paraopen semirings. In this connection, a new characterization of S -fuzzy semiring para-near compactness is studied in the sense of S-fuzzy semiring pre-paraopen compactness.
B. VijayalakshmiS. BaminiM. SaraswathiA. Vadivel...
16页
查看更多>>摘要：In this article, we investigate some properties of fuzzy S -pre-continuous and the concepts of fuzzy S -preopen, fuzzy S -preclosed and fuzzy S -pre-homeomorphism to the fuzzy topological spaces in Sostak's sense are introduced and studied. Some of their characteristic properties are considered. Also a comparison between these new types of functions are established and counter examples are also given. These results will help to extend the some generalized continuous mappings and hence it will help to improve smooth topological and bi-topological spaces.
查看更多>>摘要：Even though the notion of somewhat fuzzy continuous function and somewhat fuzzy semicontinuous function are not at all continuous functions, they have been developed by many authors considerably. In this way, the aim of this article is to introduce and investigate the concepts of somewhat fuzzy completely irresolute mapping and somewhat fuzzy completely irresolute open mapping. Moreover, some examples, compositions, few interesting relationships between those mappings are discussed.
查看更多>>摘要：In this paper, we have considered a multi-objective economic production and marketing planning inventory problem. We also take time dependent holding cost with shortages are allowed. The model is restricted with available storage space and allowable shortage cost. We consider some parameters as trapezoidal intuitionistic fuzzy number in fuzzy environment. Then we solve the problem using fuzzy programming technique. The original problem is illustrated by numerical examples.
查看更多>>摘要：In this paper, the notions of pairwise semi dense set, pairwise semi G<sub>δ</sub> -set and pairwise semi Volterra spaces in fuzzy setting are introduced and studied. Few examples are given to illustrate the concepts and several characterizations of pairwise fuzzy semi Volterra spaces are also established in this paper.
查看更多>>摘要：In this paper, we first introduce a new type of fuzzy open set, viz., fuzzy regular γ -open set. It is shown that the collection of all fuzzy regular γ -open sets in a fuzzy topological space [3] is strictly larger than that of fuzzy γ -open sets [1]. In general intersection of two fuzzy regular γ -open sets need not be so, but in fuzzy γ -space this property holds. Afterwards, we introduce fuzzy regular γ -space in which fuzzy γ -open and fuzzy regular γ -open sets coincide. In Section 4, we first introduce fuzzy γ -almost compact space and fuzzy regular γ -compact space and then characterize these two spaces in several ways especially via fuzzy net and prefilterbase. Again in Section 5, we introduce and characterize fuzzy γ -almost compact set and fuzzy regular γ -compact set via fuzzy net and prefilterbase. In the last section, three different types of fuzzy continuous-like functions are introduced under which fuzzy γ -almost compactness, fuzzy regular γ -compactness, fuzzy compactness become fuzzy compact and fuzzy γ -almost compact.
查看更多>>摘要：In this paper we introduce the concepts of <smallsize>(ι,κ)</smallsize> -generalized fuzzy e -extremally disconnectedness spaces and study the effect of generalized double fuzzy e -irresolute and generalized double fuzzy e -open functions in this space. Moreover, we investigate some interesting relationship between generalized double fuzzy e -open functions and (ι, <smallsize>κ)</smallsize> -generalized fuzzy e -extremally disconnectedness spaces. Also we introduce the concepts of generalized double fuzzy e -basically disconnected space and related sets as <smallsize>(ι, κ)</smallsize> -generalzied fuzzy e open- F<sub>σ</sub>, (ι, κ) -generalized fuzzy e closed- G<sub>δ</sub> sets and maps such as generalized double fuzzy eF<sub>σ</sub> -open, generalized double fuzzy eG<sub>δ</sub> -continuous function and generalized double fuzzy eF<sub>σ</sub> -irresolute function. Some interesting properties and characterizations of the concepts introduced are studied.
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